Free Printable Algebra 1 Review Quiz

1.

Graph the linear function y = 2x + 3.

a)

The correct answer is a graph of a straight line with a y-intercept at (0, 3) and a slope of 2.

b)

The correct answer is a graph of a parabola with a vertex at (0, 3) and a slope of 2.

c)

The correct answer is a graph of a horizontal line passing through (0, 3).

d)

The correct answer is a graph of a cubic function with a y-intercept at (0, 3) and a slope of 2.

2.

Solve the quadratic equation 2x^2 - 7x + 3 = 0.

a)

x = 1 or x = 1.5

b)

x = 0.5 or x = 0.75

c)

x = 2 or x = 3

d)

x = -1 or x = -3

3.

Solve the linear equation 4y - 8 = 2y + 12.

a)

y = 5

b)

y = -6

c)

y = 10

d)

y = 20

4.

Solve the system of equations: 3x + 2y = 10 and 2x - y = 3.

a)

The solution to the system of equations is x = 1 and y = 2.

b)

The solution to the system of equations is x = 2 and y = 4.

c)

The solution to the system of equations is x = 4 and y = 3.

d)

The solution to the system of equations is x = 3 and y = 5.

5.

Solve the quadratic equation 4x^2 - 4x - 3 = 0.

a)

x = (-(-4) ± √((-4)^2 - 4*4*(-3))) / (2*4) = (4 ± √(16 + 48)) / 8 = (4 ± √64) / 8 = (4 ± 8) / 8

b)

x = (4 - 8) / 8

c)

x = (4 + 8) / 8

d)

x = (4 + 4) / 8

6.

Solve the linear equation 3y - 9 = 2y + 6.

a)

y = 15

b)

y = -3

c)

y = 12

d)

y = 18

7.

Solve the quadratic equation 3x^2 - 5x + 2 = 0.

a)

x = 1 or x = 2

b)

x = 0.5 or x = 1

c)

x = 2 or x = 3

d)

x = -1 or x = -2

8.

Solve the system of equations: 2x + 3y = 12 and 4x - 2y = 6.

a)

The solution to the system of equations is x = 2 and y = 3.

b)

The solution to the system of equations is x = 3 and y = 2.

c)

The solution to the system of equations is x = 4 and y = 1.

d)

The solution to the system of equations is x = 1 and y = 4.

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

13.

Add or Subtract to Simplify:
(5x + x² - 4) - (4x - x² + 6)

a)

2x² + x + 2

b)

x + 2

c)

2x² + x - 10

d)

x - 10

14.

Add or Subtract to Simplify:
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

a)

4b⁴ - 2b³ + 7

b)

5b⁴ - 2b³ + 4

c)

b⁴ - 2b³ + 7

d)

5b⁴ - 2b³ + 7

15.

Add or Subtract to Simplify:

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

8n⁴ - 8n² -8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

16.

Multiply
(x+4)(x-2)

a)

x²-2x-8

b)

2x+2

c)

x²+2x-8

d)

x²+6x-8

17.

Multiply
(2x-1)(x+3)

a)

2x²+5x-3

b)

2x-3

c)

2x²+6x-3

d)

2x²-5x-3

18.

Multiply
(4x+3)(2x-1)

a)

8x²-2x-3

b)

8x-3

c)

8x²+6x-3

d)

8x²+2x-3

19.

Simplify:

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

20.

MULTIPLY. Make sure your answer is fully simplified

(-2√7)(3√28)

a)

-6√14

b)

6√13

c)

-84

d)

-78

21.

Simplify.

4√3 + √63 + √147

a)

4√3 + √63 + √147

b)

11√3 + 3√7

c)

14√13

d)

6√213

22.

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

a)

1

b)

-1

c)

3

d)

4

23.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

24.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

25.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

26.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

27.

Solve for y:
y + 2 = 3x

a)

y = 2x + 3

b)

y= 3x +2

c)

y= 3x -2

d)

y= 6x

28.

Solve for y:

y - 3 = 2(x + 4)

a)

y = 2x+11

b)

y = 2x + 7

c)

y = 2x + 8

d)

y = 2x + 14

29.

Solve:
C = 2πr, for r

a)

C/(2π) = r

b)

C + 2π = r

c)

C - 2π = r

d)

2πC = r

30.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

31.

a)

b = 3A - a - c

b)

b = -3A + a - c

c)

b = -3A - a - c

d)

b = 2A - c

32.

Solve:
12x - 4y = 20 , for y

a)

y = 3x - 5

b)

y = -3x + 5

c)

y = -3x - 5

d)

y = 3x + 5

33.

Solve the equation. $5\ =\ \frac{g}{8}$

a)

45

b)

40/8

c)

40

d)

5

34.

Solve the equation. $51\ =\ 3k$

a)

7

b)

21

c)

5

d)

17

35.

Solve the equation. $24\ =\ y\ +\ 19$

a)

5

b)

6

c)

4

d)

7

36.

Solve the equation. $r-14\ =\ 23$

a)

8

b)

9

c)

37

d)

11

37.

Which value of v makes $12=\ 12\ +\ \frac{v\ -\ 8}{2}$ a true statement.

a)

v = 10

b)

v = 14

c)

v = 12

d)

v = 8

38.

Choose the inequality that represents the following graph.

a)

$x\ <\ 5$

b)

$x\ >\ 5$

c)

$x\ \le\ 5$

d)

$x\ \ge\ 5$

39.

Choose the inequality that represents the following graph.

a)

$x\ <\ -1$

b)

$x\ \le\ -1$

c)

$x\ \ >\ -1$

d)

$x\ \ge\ -1$

40.

Combine the like terms to create an equivalent expression: $-4q\ -\ \left(-8q\right)\ +\ 10$

(a)

41.

Combine the like terms to create an equivalent expression: $-3k\ -\ \left(-8\right)\ +\ 2$

(a)

42.

Which expressions are equivalent to $x\ +\ x\ +\ x\ \ +\ 2$ ?

choose all that apply:

a)

$3x\ +\ 2$

b)

$3\ +\ 2x$

c)

$3\left(x\ +\ 2\right)\$

d)

$2\left(x\ +\ 1\right)\ +\ x$

43.

Which expressions are equivalent to $4\left(4a\ +\ 5\right)$ ?

choose all that apply:

a)

$16a\ +\ 5$

b)

$16a\ +\ 20$

c)

$12a\ +\ 20\ +\ 4a$

d)

$2\left(8a\ +\ 10\right)$

44.

Solve for e. $9e\ +\ 4\ =\ -5e\ +14\ +\ 13e\ \$

e =

(a)

45.

Solve for d. $4d\ -\ 4\ =\ 5d\ -\ 8$
d =

(a)

46.

Solve for b. $7b\ -\ 15\ =\ 5b\ -\ 3$
b =

(a)

47.

Solve for t. $9t\ -\ 7\ =\ 7t\ -\ 11$
t =

(a)

48.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

49.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

50.

What is the range?

a)

-7≤x≤6

b)

-7<x<6

c)

-8<y<2

d)

-8≤y≤2

51.

Given
f(x)= 2x² + 5x - 17, find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

52.

Consider the function: g(x) = 4x − 1

For which value of x does g(x) = 19?

(Hint: Determine which number can be substituted in for x to give you a solution of 19.)

a)

39

b)

41

c)

5

d)

38

53.

Find the zero(s) of the function.

a)

x = 1

b)

x = -3

c)

x = {-1, 3}

d)

x = 2

54.

Find the zero(s) of the function.

a)

x = -3

b)

x = 3

c)

x = -12

d)

x = 12

55.

Find the slope

a)

4/5

b)

5/4

c)

-5/4

d)

-4/5

56.

Find the slope of:
(1,8) and (3,12)

a)

2

b)

1/2

c)

9/7

d)

-2

57.

About how many male math teachers were there in 2006?

a)

15

b)

30

c)

35

d)

45

58.

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

a)

f(x) = 25.05x + 5.57

b)

f(x) = 5.57x + 25.05

c)

f(x) = -5.57x + 25.05

d)

f(x) = 5.57x - 25.05

59.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

60.

Multiply
(4x+3)(2x-1)

a)

8x²-2x-3

b)

8x-3

c)

8x²+6x-3

d)

8x²+2x-3

61.

$\sqrt{243}$

a)

$3\sqrt{3}$

b)

$9\sqrt{3}$

c)

$81\sqrt{3}$

d)

$3\sqrt{81}$

62.

$\sqrt{147}$

a)

$3\sqrt{49}$

b)

$6\sqrt{3}$

c)

$7\sqrt{3}$

d)

$9\sqrt{7}$

63.

a)

A

b)

B

c)

C

d)

D

64.

Factor the Trinomial:
x² - 8x + 15

a)

(x + 5) ( x + 3)

b)

(x - 5) (x - 3)

c)

(x + 15) (x - 1)

d)

(x - 7) (x - 8)

65.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

66.

What is the vertex of this quadratic equation?
y = 2(x - 2)² + 5

a)

(-2,5)

b)

(2,5)

c)

(5,-2)

d)

(-5,-2)

67.

What are the transformations?

y=(x-2)²+4 (Choose ALL that apply.)

a)

shift right 2

b)

shift left 2

c)

shift up 4

d)

shift down 4

68.

What value of n makes the equation $4\left(0.5n-3\right)=n-0.25\left(12-8n\right)$ true?

a)

3

b)

-9

c)

0

d)

-15

69.

Given $f\left(x\right)=\frac{1}{3}\left(4-x\right)^2$ , what is the value of f(16) ?

Type in only the number that equals the answer to this problem.

(a)

70.

What is the solution set for $-4x+10\ge5x+55$ ?

a)

$x\ge5$

b)

$x\ge45$

c)

$x\le-5$

d)

$x\le-45$

71.

What is the solution to $34x+95=3\left(14x+9\right)$ ?

Type in only the exact number answer that is the solution for x. Do not enter x =.

(a)

72.

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day.

For one day of work, what is the range of the function for this situation?

a)

$0\le x\le8$

b)

$80\le y\le440$

c)

$0\le x\le10$

d)

$45\le y\le685$

73.

What appears to be the range of the part of the exponential function graphed on the grid?

a)

$-1\le x\le3$

b)

$-1\le y\le3$

c)

$5.3\le x\le27$

d)

$5.3\le y\le27$

74.

What is the range of $y=-x^2-2x+3$ ?

a)

$x\le4$

b)

$x\ge-4$

c)

$y\le4$

d)

$y\ge-4$

75.

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill.

Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?

a)

$6x+2y<120$

b)

$2x+6y\le120$

c)

$6x+2y>120$

d)

$2x+6y\ge120$

76.

Would you like to receive a printed packet of practice questions to work on outside of class?

a)

Yes

b)

No

Algebra 1 Review Quiz

Total questions: 76

Worksheet time: 5hrs 35mins

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