Free Printable PSAT REVIEW AND PRACTICE

1.

What is the equation of the line shown?

a)

y=3x-3

b)

y=-3x+3

c)

y=1/3x-3

d)

y=-1/3x+3

2.

Which ordered pair (x,y) satisfies the system of equations shown below?
2x - y = 6
x + 2y = -2

a)

(-6, 2)

b)

(-2, 2)

c)

(2, -2)

d)

(4, 2)

3.

Which of the following is an equivalent form of the expression

15x+24ax

a)

$39ax^2$

b)

$39\left(a+2x\right)$

c)

$\left(5+8a\ \right)x$

d)

$\left(15+24a\right)x$

4.

The formula

$d=rt$ is used to calculate the distance an object travels over a period of time, $t$ , at a constant rate, $r$ . Based on this formula, what is the rate,

r

, in terms of

d

and

t

?

a)

$r=\frac{d}{t}$

b)

$r=dt$

c)

$r=\frac{t}{d}$

d)

$r=d-t$

5.

Which of the following ordered pairs $\left(x,y\right)$ satisfies both equations $y=x^2+3x-4$ and $x=y-4$ ?

a)

(0,-4)

b)

(2,6)

c)

(3,14)

d)

(5,9)

6.

Which of the following is a solution to the equation $2x^2+4x=3+3x^2$ ?

a)

-1

b)

0

c)

3

d)

6

7.

-3x-4y=20
x-10y=16

If (x,y) is the solution to the system of equations above, what is the value of x?

a)

-14

b)

-12

c)

-4

d)

16

8.

A line is graphed in the xy-plane. If the line has a positive slope and a negative y-intercept, which of the following points cannot lie on the line?

a)

(-3,-3)

b)

(-3,3)

c)

(3,-3)

d)

(3,3)

9.

What is the probability of rolling a cube and having it land as a six?

a)

1/6

b)

5/6

c)

1/3

d)

1/2

10.

A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?

a)

5/11

b)

5/6

c)

1/3

d)

5

11.

Change this decimal to a percent.
0.528

a)

528%

b)

52.8%

c)

5.28%

d)

52%

12.

If a coin is flipped 3 times, what is the probability that it will land on tails at least twice?

a)

1/8

b)

1/4

c)

1/2

d)

3/4

13.

What type of slope does the graph have?

a)

Positive

b)

Negative

c)

Zero Slope

d)

Undefined

14.

What is the solution to this system?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

15.

Find the value of the missing angle.

a)

27

b)

55

c)

43

d)

137

16.

Find the slope

a)

-2/3

b)

3/2

c)

-3/2

d)

2/3

17.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

18.

What is the y-intercept in the equation y= -2x + 5

a)

-2

b)

3

c)

5

d)

Cannot be Determined

19.

6) Find the Lateral Surface Area of a Triangular Prism.

a)

72

b)

65

c)

84

d)

18

20.

7) Find the Total Surface Area of a Triangular Prism.

a)

72

b)

65

c)

84

d)

18

21.

If f(x) = 2x+1, what would the function look like once you substitute in a 1 to find f(1)?

a)

f(x) = 21+1

b)

f(1) = 2 (1) + 1

c)

f(1) = 2x (1) + 1

22.

$f\left(x\right)=5x-12$ What is $f\left(-4\right)$

a)

-32

b)

-3

c)

-12

d)

3

23.

$Given\ h\left(x\right)=x^2-4\$

What is h (6)?

a)

32

b)

0

c)

-4

d)

77

24.

What is f(2)?

a)

-4

b)

8

c)

0

d)

5

25.

What is the value of f(-5)?

a)

-2

b)

2

c)

4

d)

0

26.

What is $f\left(0\right)$ for the function $f\left(x\right)=2x+3$

a)

2x

b)

-3

c)

3

d)

10

27.

For the function f(x) = 4x + 2, find x such that f(x) = 2.

a)

10

b)

2

c)

-2

d)

0

28.

What is the type of association?

a)

Negative

b)

no association

c)

positive

29.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

30.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

31.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

32.

Write the equation for the linear regression shown.

a)

$y=ax+b$

b)

$y=0.6x+0.1$

c)

$y=0.72x+r$

d)

$y=0.1x+0.6$

33.

What type of correlation best describes the scatter plot shown?

a)

positive, weak

b)

positive, strong

c)

negative, weak

d)

no correlation

34.

Which scatter plot shows no relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

35.

Solve
-4x + 1 = 21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

36.

Solve
3x - 5 = -26

a)

x=-21

b)

x=21

c)

x=-7

d)

x=61

37.

2 + (9²- 4)

a)

16

b)

77

c)

79

38.

(7 + 41) ÷ 2 – 15

a)

19

b)

9

c)

25

d)

3

39.

Solve
s + 9 ≥ -25

a)

s ≥ -18

b)

s ≥ -34

c)

s ≤ 18

d)

s ≥ 34

40.

The graph above shows the student participation for 4 school clubs. Each student is allowed to participate in only one club. If the school has 250 students, how many students are not in a club?

a)

A) 220

b)

B) 90

c)

C) 60

d)

D) 30

41.

What fraction is represented by the shaded part of the image above?

a)

5/6

b)

1/5

c)

1/6

d)

None of the Above

42.

Which fraction is equivalent to 12/15?

a)

6/5

b)

4/5

c)

3/5

d)

2/5

43.

Find the measure of the missing angle.

a)

90^o

b)

10⁰

c)

130^o

d)

50^o

44.

Which equation best represents the relationship between x and y in the table shown?

a)

y=4x-10

b)

y=-1/3x-10

c)

y=-10x+10

d)

y=-3x-10

45.

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

a)

add

b)

subtract

c)

multiply

d)

divide

46.

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸/h³

a)

add

b)

subtract

c)

multiply

d)

divide

47.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

48.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

PSAT REVIEW AND PRACTICE

Total questions: 48

Worksheet time: 24mins

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