Free Printable PSAT Week 1 Quiz

1.

Simplify the expression: 3x + 2x

a)

5x

b)

x

c)

6x

d)

5

2.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

3.

-4x - 10x

a)

-14

b)

6x

c)

-6x

d)

-14x

4.

-9n + 12n + 7

a)

28n

b)

10n

c)

21n + 7

d)

3n + 7

5.

8x-10x+x

a)

2x

b)

-x

c)

-2x

d)

x

6.

2xy can be combined with 3xy²

a)

True

b)

False

7.

x²can be combined with 2x²

a)

True

b)

False

8.

Simplify the Expression:

2x²- 7x + 10 - x²

a)

-4x²+ 10

b)

20x

c)

x²- 7x + 10

d)

3x²- 7x - 10

9.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

10.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

11.

Which matches the expression below?

2x + 5

a)

Five times a number increased by two.

b)

The sum of five and twice a number.

c)

Two more than the product of five and a number.

12.

Which matches the expression below?

x −9

a)

Nine more than a number.

b)

The sum of a number and nine.

c)

A number decreased by nine.

13.

Seven more than four times a number is eighteen.

a)

7 + 4 = 18

b)

4y + 7 = 18

c)

7 + 4y + 18

d)

18y + 4 + 7

14.

Translate the sentence into an equation.

Seven subtracted from n is 18

a)

n + 7 = 18

b)

7 - n = 18

c)

n - 7 = 18

d)

n + 7 = 18n

15.

A number squared increased by 1

a)

1+2x

b)

x²+1

c)

x²-1

d)

_{2x - 1}

16.

Kalia buys 5 items that cost d dollars each. She gives the cashier $60. Which expression represents the change she should receive?

a)

60 - 5d

b)

60 - d

c)

60 + 5d

d)

5d - 60

17.

8 times the difference of c and 9

a)

8c - 9

b)

8 (c - 9)

c)

8 (c+9)

d)

9 (c + 8)

18.

The quotient of a number and 15

a)

15 x n

b)

n + 15

c)

15 - n

d)

n/15

19.

5 less than a number is 15.

a)

x - 5 = 15

b)

5 - x = 15

c)

15 - x = 5

20.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

21.

Solve the equation
3x = 27.

a)

x = 24

b)

x = 81

c)

x = 9

22.

In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?

a)

Subtract 7 from both sides. The solution is x = 5.

b)

Add 7 to both sides.
The solution is x = 19.

c)

Multiply both sides by 7 The solution is x = 84.

23.

Solve the following equation
X + 8 = 15

a)

23

b)

-7

c)

7

d)

-23

24.

Solve the following equation
8 = m - 12

a)

4

b)

0.5

c)

5.0

d)

20

25.

Solve the following equation
c / 4 = 4

a)

1/4

b)

8

c)

1

d)

16

26.

$16\ =\frac{k}{11}$

The variable, k, is being divided by 11. What step needs to be completed to isolate the variable k?

a)

Divide both sides by 11

b)

Multiply both sides by 11.

c)

Add 11 to both sides.

d)

Subtract 11 to both sides.

27.

Solve for x in the following equation:
$\frac{x}{-4}$ = 9

a)

13

b)

36

c)

-36

d)

$\frac{-4}{9}$

28.

Solve for the variable (a) in the following equation:

32 = -8a

a)

4

b)

-4

c)

40

d)

24

29.

Solve for r in the following equation:

(Hint: think about using the reciprocal)

-6 = $\frac{2}{3}r$

a)

-4

b)

-9

c)

9

d)

4

30.

Solve the equation:
x/-3 = -4

a)

x = 12

b)

x = 1

c)

x = -1

d)

x = -12

31.

a)

q≤46

b)

q<46

c)

q≥46

d)

q<46

32.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

33.

Solve the following Inequality.

\frac{r}{3}\ >\ 6

a)

r > 3

b)

r > 18

c)

r < 18

d)

r < 3

34.

Solve the following Inequality.

a - 17 > -16

a)

a > 2

b)

a > 1

c)

a > -1

d)

a > 23

35.

Solve the following Inequality.

-5\ \ge\ j\ +\ 9

a)

$4\ \ge\ j$

b)

$-4\ \ge\ j$

c)

$-14\ \ge\ j$

PSAT Week 1 Quiz

Total questions: 35

Worksheet time: 1hrs 10mins

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