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Iowa HS Math Practice Test

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Question 1 of 30

1. Question
Which expression is equivalent to √176?
- a. 88
- b. 2√22
- c. 4√11
- d. 16√11
Correct

Incorrect
Question 2 of 30

2. Question
Consider the graph of a linear function shown on a grid as follows:

Which of the following functions represents this graph?
- a. f(x) = 1.75x – 3.5
- b. f(x) = 3.5x + 1.75
- c. f(x) = 1.75x + 3.5
- d. f(x) = -3.5xx 1.75
Correct

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Question 3 of 30

3. Question
Consider the linear relationship between x and y shown in the table as follows:

x -12.5 -9.5 -5.5 -1

y 124 -94 -54 -9

Which of the following shows the rate of change of y with respect to x?
- a. -10
- b. -1
- c. 1
- d. 10
Correct

Incorrect
Question 4 of 30

4. Question
Consider the given function f(x) = x² – 9x + 20.

Which of the following statements is true?
- a. The zeros are 4 and 5 because the factors of f are (x – 4) and (x – 5).
- b. The zeros are -4 and 5 because the factors of f are (x + 4) and (x – 5).
- c. The zeros are 4 and -5 because the factors of f are (x – 4) and (x + 5).
- d. The zeros are -4 and -5 because the factors of f are (x + 4) and (x + 5).
Correct

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Question 5 of 30

5. Question
Which of the following ordered pair is in the solution set of -5x – 25y < -30?
- a. (6,0)
- b. (21,-3)
- c. (4,-3)
- d. (5,1)
Correct

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Question 6 of 30

6. Question
Which of the following shows the equation of the line that passes through the points (-10,-8) and (32,24)?
- a. y = -16/21x – 8/21
- b. y = 16/21x – 8/21
- c. y = -16/21x + 8/21
- d. y = 16/21x + 8/21
Correct

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Question 7 of 30

7. Question
Which of the following expressions is equivalent to (a¹¹bc⁶)⁷?
- a. a¹⁸b⁸c¹³
- b. a¹⁸b⁷c¹³
- c. a⁷⁷bc⁴²
- d. a⁷⁷b⁷c⁴²
Correct

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Question 8 of 30

8. Question
Consider the graph of linear function as shown below:

Which of the following statements is true?
- a. The slope of the graph is $\frac{4}{3}$ , and the y-intercept is 3.
- b. The slope of the graph is $\frac{4}{3}$ , and the y-intercept is -4.
- c. The slope of the graph is $\frac{3}{4}$ , and the y-intercept is 3.
- d. The slope of the graph is $\frac{3}{4}$ , and the y-intercept is -4.
Correct

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Question 9 of 30

9. Question
What is the solution to 15 + 3(2x – 4) = 7(3x + 5) + 6?
- a. $\frac{38}{15}$
- b. $\frac{15}{38}$
- c. – $\frac{38}{15}$
- d. – $\frac{15}{15}$
Correct

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Question 10 of 30

10. Question
Consider the function g(x) = -5(x – 12)² + 3. What is the value of g(6)?
Correct

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Question 11 of 30

11. Question
A customer paid a total of $4.20 for 58 items at a grocery store. Some of the items were apples and the rest were bananas.
- Each apple costs $0.05.
- Each banana costs $0.10.
Which system of equations can be used to find a, the number of apples purchased, and b, the number of bananas purchased by the customer at the grocery store?
- a. a + b = 4.20
  .05a + 0.10b = 58
- b. a + b = 58
  0.05a + 0.10b = 4.20
- c. a + b = 4.20
  0.10a + 0.05b = 58
- d. a + b = 58
  0.10a + 0.05b = 4.20
Correct

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Question 12 of 30

12. Question
Consider the graph of a quadratic function on the grid as shown below:

Which of the following function is best represented by this graph?
- a. $y=-\frac{1}{2}x^2-1$
- b. $y=-x^2-1$
- c. $y=-\frac{1}{2}x^2+1$
- d. $y=-x^2+1$
Correct

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Question 13 of 30

13. Question
Consider the table below, which shows the linear relationship between x and y as follows:

x y

-1 30

-2 39

5 -24

3 -6

What is the slope of the line represented by the table of values?
- a. -9
- b. – $\frac{1}{9}$
- c. $\frac{1}{9}$
- d. 9
Correct

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Question 14 of 30

14. Question
Which of the following is the factored form of 6x² – 17x + 5?
- a. (2x + 5)(3x – 1)
- b. (2x – 5)(3x + 1)
- c. (2x – 5)(3x – 1)
- d. (2x – 5)(3x – 1)
Correct

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Question 15 of 30

15. Question
A line is passing through the point (2, 3) and is perpendicular to the line represented by 6x – 5y = 10. Which of the following shows the equation of that line?
- a. $y=\frac{5}{6}x-\frac{14}{3}$
- b. $y=-\frac{5}{6}x+\frac{14}{3}$
- c. $y=\frac{6}{5}x+\frac{14}{3}$
- d. $y=-\frac{6}{5}x-\frac{14}{3}$
Correct

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Question 16 of 30

16. Question
Consider the graph of linear function g as shown in the grid.

If it is given that f(x) = x and g(x) = kf(x), then what is the value of k?
Correct

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Question 17 of 30

17. Question
Consider a part of linear function f graphed below.

Which of the following inequalities best describe the domain and range of the part shown?
- a. Domain: -3 < x < 3
  Range: -2 < f(x) < 1
- b. Domain: -2 < x < 1
  Range: -3 < f(x) < 3
- c. Domain: -3 ≤ x ≤ 3
  Range: -2 ≤ f(x) ≤ 1
- d. Domain: -2 ≤ x ≤ 1
  Range: -3 ≤ f(x) ≤ 3
Correct

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Question 18 of 30

18. Question
Which of the following is the solution to the equation?

6x² + 5x – 4 = 0
- a. x = – $\frac{3}{4}$
- b. x = – $\frac{4}{3}$
- c. x = – $\frac{1}{2}$
- d. x = 2
Correct

Incorrect
Question 19 of 30

19. Question
Consider the tables f and g, which show the points of the ordered pairs on the graphs of lines f and g.

Line f

x y

2 23.5

5 31

7 36

10 43.5

Line g

x y

1 -13

3 -21

-4 7

-6 15

Which system of equations represents lines f and g?
- a. f(x) = 2.5x + 18.5
  g(x) = -4x – 9
- b. f(x) = 18.5x + 2.5
  g(x) = -4x – 17
- c. f(x) = 2.5x + 18.5
  g(x) = -4x – 17
- d. f(x) = 18.5x + 2.5
  g(x) = -4x – 9
Correct

Incorrect
Question 20 of 30

20. Question
Consider the graph of a linear function show below on the grid line.

Which of the following represents the rate of change of y with respect to x for this function?
- a. – $\frac{2}{3}$
- b. $\frac{2}{3}$
- c. – $\frac{3}{2}$
- d. $\frac{3}{2}$
Correct

Incorrect
Question 21 of 30

21. Question
For all the values of x and y where the function is defined, which of the following expression is equivalent to $\frac{48x^6y^7}{(4xy)^2}$ ?
- a. 12x⁵y⁶
- b. 40x⁴y⁵
- c. 3x⁴y⁵
- d. 6x⁵y⁶
Correct

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Question 22 of 30

22. Question
What is the value of the y-intercept of the graph of f(x) = 94( $\frac{5}{6}$ )²?
Correct

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Question 23 of 30

23. Question
Which expression is equivalent to ( $\frac{5}{2}$ a + 2)( $\frac{3}{2}$ a + 5)?
- a. $\frac{15a^2}{4}+\frac{31a}{2}+10$
- b. $\frac{31a^2}{4}+\frac{15a}{2}+10$
- c. $\frac{15a^2}{4}+\frac{25a}{2}+7$
- d. $\frac{31a^2}{2}+\frac{31a}{4}+7$
Correct

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Question 24 of 30

24. Question
Which expression is equivalent to 9x² + 72x + 144?
- a. (9x – 24)²
- b. (9x + 12)²
- c. (3x + 12)²
- d. (3x – 12)²
Correct

Incorrect
Question 25 of 30

25. Question
For all the values of a, b, and c, where the expression is defined. If the expression is (18a²b³c²⁵)(4a⁰b^-27c⁰), then which of the following is the equivalent form of the expression?
- a. $\frac{22}{b^{81}}$
- b. $\frac{72}{b^{81}}$
- c. $\frac{22a^2c^{25}}{b^{24}}$
- d. $\frac{72a^2c^{25}}{b^{24}}$
Correct

Incorrect
Question 26 of 30

26. Question
What is the solution set for x² – 2x – 7 = 0?
- a. {1 – 2√2, 1 + 2√2}
- b. {-2√2, 2√2}
- c. {1 – √32, 1 + √32}
- d. {-√2, 2√2}
Correct

Incorrect
Question 27 of 30

27. Question
Which statement best shows the equation of the line on the grid and its relationship to the y-axis?
- a. The equation of the line is y = -3, and the line is perpendicular to the x-axis.
- b. The equation of the line is y = -3, and the line is parallel to the x-axis.
- c. The equation of the line is x = -3, and the line is perpendicular to the y-axis.
- d. The equation of the line is x = -3, and the line is parallel to the y-axis.
Correct

Incorrect
Question 28 of 30

28. Question
Which expression is equivalent to 64x² – 225?
- a. (8x – 15)²
- b. (8x – 15)(8x + 15)
- c. 64(x – 4)²
- d. 64(x + 4)(x – 4)
Correct

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Question 29 of 30

29. Question
Consider that y is directly proportional to x. If x = 4.5, then the value of y is 27. What is the value of y when x = 40?
Correct

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Question 30 of 30

30. Question
Consider the graph of a quadratic function on the grid as shown below:

Which of the following represents the domain and range of the function?
- a. Domain: -4 ≤ x ≤ 4
  Range: -5 ≤ y ≤ 5
- b. Domain: -5 ≤ x ≤ 5
  Range: -4 ≤ y ≤ 4
- c. Domain: -4 ≤ x ≤ 4
  Range: All real numbers
- d. Domain: -5 ≤ x ≤ 5
  Range: All real numbers
Correct

Incorrect

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x	-12.5	-9.5	-5.5	-1
y	124	-94	-54	-9

x	y
-1	30
-2	39
5	-24
3	-6

x	y
2	23.5
5	31
7	36
10	43.5

x	y
1	-13
3	-21
-4	7
-6	15

Iowa HS Math Practice Test

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