Algebra 1 Final Exam
.jpg "Algebra 1 Final Exam - Quiz")
Do your best, please be quiet, It has been a pleasure being your teacher this year.
Now get to work. . . .
Questions and Answers
- 1.
Simplify the following expression. 2r + 4 +10
- A.
−3 r
- B.
16r
- C.
2r +14
Correct Answer
C. 2r +14Explanation
The given expression is 2r + 4 + 10. To simplify this expression, we can combine the constants (4 and 10) to get 14. So, the simplified expression is 2r + 14.Rate this question:
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- 2.
Simplify the following expression. 1 + 10m - 8m
- A.
19m
- B.
2m +1
- C.
-2m +1
Correct Answer
B. 2m +1Explanation
The given expression is 1 + 10m - 8m. To simplify, we can combine like terms by adding the coefficients of m. The coefficient of m is 10 - 8 = 2. Therefore, the simplified expression is 2m. Since there are no other terms in the expression, the final simplified expression is 2m + 1.Rate this question:
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- 3.
Simplify the following expression. 2b + 9 + b -1
- A.
3b + 8
- B.
13b + 8
- C.
11b
Correct Answer
A. 3b + 8Explanation
The given expression is a combination of terms with the variable b. To simplify the expression, we can combine like terms. The terms 2b and b can be combined to give 3b. The terms 9 and -1 can be combined to give 8. Therefore, the simplified expression is 3b + 8.Rate this question:
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- 4.
Simplify the following expression. 1 - 9n + 5n
- A.
13n + 1
- B.
14n + 1
- C.
-4n + 1
Correct Answer
C. -4n + 1Explanation
The given expression is simplified by combining like terms. In this case, we have -9n and +5n, which can be combined to give -4n. So, the simplified expression is -4n + 1.Rate this question:
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- 5.
Simplify the following expression. 9k + 2 + 6k - 9
- A.
20k - 7
- B.
15k -7
- C.
2 - 14k
Correct Answer
B. 15k -7Explanation
To simplify the expression, we can combine like terms. The like terms in the expression are 9k and 6k, which can be added together to give 15k. The constants 2 and -9 can also be combined to give -7. Therefore, the simplified expression is 15k - 7.Rate this question:
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- 6.
Simplify the following expression. 4x + 2(5x + 2)
- A.
9x + 4
- B.
13x
- C.
14X + 4
Correct Answer
C. 14X + 4Explanation
The expression can be simplified by applying the distributive property. First, distribute the 2 to both terms inside the parentheses: 2(5x) + 2(2) = 10x + 4. Then combine like terms by adding the coefficients of the x terms: 4x + 10x = 14x. Finally, combine the constant terms: 14x + 4.Rate this question:
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- 7.
Simplify the following expression. 5 + -3(5x -3)
- A.
10 x - 6
- B.
-15x -4
- C.
2x -3
Correct Answer
B. -15x -4Explanation
The given expression is simplified by applying the distributive property, which states that multiplying a number by a sum is the same as multiplying the number by each term in the sum and then adding the results. In this case, we multiply -3 by both 5x and -3, resulting in -15x and 9, respectively. Then, we add 5 to -15x and 9, giving us the simplified expression -15x + 14. Therefore, the correct answer is -15x - 4.Rate this question:
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- 8.
Simplify the following expression. 7x + 4(5x + 2)
- A.
14x + 4
- B.
6 + 12x
- C.
27x + 8
Correct Answer
C. 27x + 8Explanation
The given expression can be simplified by distributing the 4 to both terms inside the parentheses. This results in 7x + 20x + 8. Combining like terms, we get 27x + 8.Rate this question:
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- 9.
Evaluate Each Expression (-3) - (-3) + (-8)
- A.
-13
- B.
-11
- C.
-8
Correct Answer
C. -8Explanation
In the given expression, we have (-3) - (-3) + (-8). When we subtract a negative number from a negative number, it is equivalent to adding the positive of that number. Therefore, (-3) - (-3) can be simplified to (-3) + 3, which equals 0. Adding 0 to (-8) gives us -8 as the final result.Rate this question:
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- 10.
Evaluate Each Expression 7 + (-3) - (-6)
- A.
18
- B.
10
- C.
12
Correct Answer
B. 10Explanation
The given expression is 7 + (-3) - (-6). To solve this, we start by evaluating the negative signs. The negative sign before the 3 means that we subtract 3 from 7, giving us 4. The negative sign before the 6 means that we add 6 to the result, giving us 10. Therefore, the correct answer is 10.Rate this question:
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- 11.
Evaluate Each Expression (-7) + 6 + 7
- A.
20
- B.
12
- C.
6
Correct Answer
C. 6Explanation
The given expression is (-7) + 6 + 7. To solve this, we start by adding the numbers inside the parentheses, which gives us -1. Then, we add 6 and 7 to get 13. Therefore, the final answer is 13.Rate this question:
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- 12.
Evaluate Each Expression (-4) + (-7) + 7
- A.
-12
- B.
-7
- C.
-4
Correct Answer
C. -4Explanation
The expression (-4) + (-7) + 7 can be simplified by adding the negative numbers first. When we add -4 and -7, we get -11. Then, we add 7 to -11, resulting in -4. Therefore, the correct answer is -4.Rate this question:
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- 13.
Evaluate Each Expression 5 + 3 - 7 + 12
- A.
15
- B.
13
- C.
3
Correct Answer
C. 3Explanation
The correct answer is 3. To evaluate the expression, we follow the order of operations (PEMDAS/BODMAS). First, we perform the addition and subtraction from left to right. 5 + 3 equals 8, then subtracting 7 gives us 1. Finally, adding 12 gives us the final result of 13.Rate this question:
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- 14.
Find slope HINT (RISE OVER RUN)
- A.
5/2
- B.
5/1
- C.
1/6
Correct Answer
B. 5/1Explanation
The slope is determined by the change in the y-coordinate divided by the change in the x-coordinate. In this case, the change in the y-coordinate is 5 and the change in the x-coordinate is 1. Therefore, the slope is 5/1.Rate this question:
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- 15.
- Find slope HINT (RISE OVER RUN)
- A.
- 9/5
- B.
-5/9
- C.
- 3/4
Correct Answer
A. - 9/5Explanation
The slope can be found by calculating the rise over the run. In this case, the rise is -9 and the run is 5. Therefore, the slope is -9/5.Rate this question:
- 16.
TELL ME WHERE POINT (H) IS LOCATED
- A.
(-8,2)
- B.
(2,-8)
- C.
(5, 7)
Correct Answer
A. (-8,2)Explanation
The point (H) is located at coordinates (-8,2) on the coordinate plane.Rate this question:
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- 17.
TELL ME WHERE POINT (I) IS LOCATED
- A.
(6, 5)
- B.
(8, 5)
- C.
(-9, -9)
Correct Answer
C. (-9, -9)Explanation
The point (I) is located at (-9, -9) because it is the only option that matches the given coordinates. The other options (6, 5) and (8, 5) do not match the given coordinates.Rate this question:
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- 18.
TELL ME WHERE POINT (K) IS LOCATED
- A.
(4,-3)
- B.
(4,-5)
- C.
(-5,5)
Correct Answer
B. (4,-5)Explanation
The point (K) is located at the coordinates (4,-5).Rate this question:
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- 19.
TELL ME WHERE POINT (I) IS LOCATED
- A.
(-9,-7)
- B.
(-9,-9)
- C.
(-9,-8)
Correct Answer
B. (-9,-9)Explanation
The point (I) is located at (-9,-9) because it is the only option that matches the given coordinates. The x-coordinate is -9 and the y-coordinate is also -9, which is consistent with the given answer choice.Rate this question:
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- 20.
TELL ME WHERE POINT (J) IS LOCATED
- A.
(8,7)
- B.
(7,-9)
- C.
(7, 6)
Correct Answer
B. (7,-9)Explanation
The correct answer is (7,-9) because it is the only option that matches the given coordinates. The point (J) is located at the coordinates (7,-9) on the coordinate plane.Rate this question:
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- 21.
SOLVE FOR X (REMEMBER TO BACKTRACK) -6x = -120
- A.
20
- B.
-20
- C.
114
Correct Answer
A. 20Explanation
To solve for x, we need to isolate x on one side of the equation. In this case, we have -6x = -120. To get rid of the coefficient -6, we divide both sides of the equation by -6. This gives us x = -120 / -6 which simplifies to x = 20. Therefore, the correct answer is 20.Rate this question:
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- 22.
SOLVE FOR K (REMEMBER TO BACKTRACK) ) k + (1 * 9) = 0
- A.
2
- B.
0
- C.
-9
Correct Answer
C. -9Explanation
The equation given is k + (1 * 9) = 0. To solve for k, we need to isolate k on one side of the equation. We can do this by subtracting 9 from both sides of the equation. This gives us k = -9. Therefore, the correct answer is -9.Rate this question:
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- 23.
SOLVE FOR P (REMEMBER TO BACKTRACK) ) 11 + p = 30
- A.
17
- B.
18
- C.
19
Correct Answer
C. 19Explanation
To solve the equation 11 + p = 30, we need to isolate the variable p. To do this, we can subtract 11 from both sides of the equation. This gives us p = 30 - 11, which simplifies to p = 19. Therefore, the correct answer is 19.Rate this question:
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- 24.
SOLVE FOR X (REMEMBER TO BACKTRACK) ) (4x) + 4 = 12
- A.
1
- B.
2
- C.
3
Correct Answer
B. 2Explanation
The correct answer is 2 because if we subtract 4 from both sides of the equation, we get 4x = 8. Then, if we divide both sides by 4, we find that x = 2.Rate this question:
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- 25.
SOLVE FOR R (REMEMBER TO BACKTRACK) -3r - 5 = 7 )
- A.
-4
- B.
-5
- C.
13
Correct Answer
A. -4Explanation
The correct answer is -4. To solve for R, we need to isolate the variable. First, we can start by adding 5 to both sides of the equation to get -3r = 12. Then, we can divide both sides by -3 to solve for R, which gives us R = -4.Rate this question:
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- 26.
Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.
- A.
Linear
- B.
Verticle
- C.
Alternate exterior
Correct Answer
A. LinearExplanation
The given answer is correct because the angles mentioned in the question are all part of a straight line, making them linear angles.Rate this question:
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- 27.
Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.
- A.
Alternate exterior
- B.
Same side interior
- C.
Verticle Angle
Correct Answer
C. Verticle Angle -
- 28.
Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear..
- A.
Alternate interior
- B.
Same side interior
- C.
Same side exterior
Correct Answer
B. Same side interiorExplanation
Same side interior angles are a pair of angles that are on the same side of the transversal line and on the interior of the two parallel lines. In this case, the given pair of angles are on the same side of the transversal line and are on the interior of the two parallel lines. Therefore, the correct identification for this pair of angles is same side interior.Rate this question:
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- 29.
Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.
- A.
Alternate exterior
- B.
Alternate interior
- C.
Verticle
Correct Answer
B. Alternate interiorExplanation
Alternate interior angles are formed when a transversal intersects two parallel lines. In this case, the given angles are alternate interior angles because they are on opposite sides of the transversal and are inside the two parallel lines.Rate this question:
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- 30.
Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.
- A.
Alternate exterior
- B.
Alternate interior
- C.
Corresponding
Correct Answer
C. CorrespondingExplanation
The given answer "Corresponding" is correct because when two lines are crossed by another line (known as a transversal), the angles that are in the same position on each line are called corresponding angles. In this case, the angles mentioned in the question are corresponding angles because they are in the same position on each line that is being crossed by the transversal.Rate this question:
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- 31.
Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.
- A.
Alternate interior
- B.
Alternate exterior
- C.
Corresponding
Correct Answer
B. Alternate exteriorExplanation
Alternate exterior angles are formed when a transversal intersects two parallel lines. In this case, the given angles are located on the opposite sides of the transversal and on the exterior of the parallel lines. Therefore, the correct answer is "Alternate exterior."Rate this question:
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- 32.
Please tell me what you thought about Algerbra 1 and what can I do to improve his teaching and classroom (to make it fun and enjoyable learning)
.jpg "TELL ME WHERE POINT (H) IS LOCATED")
.jpg "TELL ME WHERE POINT (I) IS LOCATED")
.jpg "TELL ME WHERE POINT (K) IS LOCATED")
.jpg "TELL ME WHERE POINT (I) IS LOCATED")
.jpg "TELL ME WHERE POINT (J) IS LOCATED")
.jpg "Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.")
.jpg "Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.")
.jpg "Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear..")
.jpg "Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.")
.jpg "Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.")
.jpg "Identify each pair of angles as corresponding, alternate interior, alternate exterior, same-side interior, vertical, or linear.")
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