Free Printable Algebra 1 Review

1.

a)

-1

b)

-4

c)

-4, -1

d)

1, 4

2.

a)

8

b)

4

c)

12

d)

16

3.

a)

4x² + x + 1

b)

5x² + 1

c)

4x² + x - 1

d)

3x² + 2x - 1

4.

a)

4x + 8

b)

3x² + 7

c)

3x² + 22x + 7

d)

3x² + 10x + 7

5.

Which of the following does not represent a function?

a)

{(-3, 9), (-1, 1), (1, 1), (3,9)}

b)

{(-2, 4), (-2, -3), (0, -5), (1, -7)}

c)

{(-4, 2), (-1, 2), (0, 2), (5, 2)}

d)

{(-6, -5), (-4, 0), (-1, 3), (1, -3)}

6.

a)

A

b)

B

c)

C

d)

D

7.

4⁰=

a)

0

b)

1

c)

4

d)

-4

8.

Find the equation of the line shown

a)

y = 4x - 2

b)

y = -2x + 4

c)

y = 2x + 4

d)

y = -4x - 2

9.

|x+3| = 7

a)

4

b)

-4

c)

4 and - 4

d)

4 and - 10

10.

If g(x) = 2x² - 4, find g(-2)

a)

-8

b)

-12

c)

4

d)

0

11.

a)

F.

b)

G.

c)

H.

d)

J.

12.

If f(x) = 2x - 8, what is the value of f(-12)?

a)

16

b)

32

c)

-32

d)

-16

13.

Match the graph with the inequality

a)

y≥x−1

b)

y≤x−1

14.

Give the solution to the system

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

a hoppy hippo

15.

a)

Function

b)

Not a Function

16.

Which equation matches the graph?

a)

y = 2x + 3

b)

y = -3

c)

y = 2x - 3

d)

y = -3x + 2

17.

If f(x)=3x-9, find f(5).

a)

f(5) = 6

b)

f(5) = 16

c)

f(5) = -4

d)

f(5) = 24

18.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

19.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

20.

According to exponent rules, when we raise the power to a power we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

21.

Solve the equation
4(2x-5)=7(2x+4)

a)

8

b)

-8

c)

-1.5

d)

1.5

22.

Write a linear function f with the values
f(1) = 3 and f(4) = -6.

a)

y = -3x + 6

b)

y = -6

c)

y = -3x - 6

d)

y = 3x + 6

23.

Monica was taking a bus trip to see her aunt. For her to ride 50 miles it cost her $40. For her to ride 250 miles the bus trip would cost her $100. Find the rate of change in dollars per mile. Write an equation in slope-intercept form to model this situation.

a)

y = 3/10x + 40

b)

y = 2.5x + 25

c)

y = 3/10x + 30

d)

y = 3/10x + 25

24.

Which one is the constant?
5g³ + 2

a)

5

b)

g

c)

3

d)

2

25.

a)

The independent variable is money earned

b)

The dependent variable is time

c)

The independent variable is dollars

d)

The independent variable is hours

26.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

a)

a + c = 21
6a + 4c = 104

b)

a + c = 104
6a + 4c = 21

c)

a + c = 21
6c + 4a = 104

d)

a + c = 104
6c + 4a = 21

27.

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

a)

4%

b)

It doesn't say

c)

I don't know

d)

400%

28.

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

a)

y=1400(1.09)^x

b)

y=1.09(1400)^x

c)

y=1400(.91)^x

d)

y=1.09^x

29.

What is the solution to this system?
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

30.

Ashley had a summer lemonade stand where she sold small cups of lemonade for $1.25 and Large cups for $2.50. If Ashley sold a total of 155 cups for $265, which system could be used to determine the number of small (x) and large (y) cups she sold?

a)

x + y = 265
1.25x+2.5y=155

b)

x + y = 155
2.5x+1.25y=265

c)

x + y = 265
2.5x+1.25y=155

d)

x + y = 155
1.25x+2.5y=265

31.

Find the vertex of
f(x) = -x²- 4x + 12

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

32.

Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t² + 140t + 2
What was the starting
height of the ball?

a)

-16 feet

b)

140 feet

c)

2 feet

d)

0 feet

33.

x² - 5 = -4

a)

1, -1

b)

3, -3

c)

3

d)

1

34.

Solve by taking square roots:
5m² + 1 = 6

a)

m = 0

b)

m = 1 or -1

c)

m = √7

d)

m = 7/5 m = -7/5

35.

Combine like terms to simplify:
(5x + 2) + (4x + 5)

a)

9x -7

b)

-9x-11

c)

9x+7

d)

x+7

36.

Subtract the following polynomials:
(3x²-3x+2)-(x²-2x+1)

a)

2x²+x+1

b)

2x²-5x+3

c)

2x²-x+1

d)

4x²-5x+3

37.

What is the y intercept for the equation:
y = -8x² + 3x - 7

a)

(0, -8)

b)

(0, 3)

c)

(-8, -7)

d)

(0, -7)

38.

a)

A

b)

B

c)

C

d)

D

39.

What are the zeros of the function defined by x² – 2x – 15?
A (–5, –3)
B (–5, 3)
C (–3, 5)
D (3, 5)

a)

A

b)

B

c)

C

d)

D

40.

a)

A 1 < x < 5

b)

B 1 ≤ x ≤ 5

c)

C x < 1 and x > 5

d)

D x ≤ 1 and x ≥ 5

41.

Which form is the equation
y = -3(x-5)²+7 in?

a)

Standard

b)

Vertex

c)

Factored

d)

None of These

42.

Convert to vertex form.

a)

y=3(x+1)² - 8

b)

y=3(x-1)² - 8

c)

y=3(x+2)² - 8

d)

y=3(x-2)² - 8

43.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

44.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

45.

What is the vertex form of this quadratic?

a)

f(x) = -(x + 2)²- 4

b)

f(x) = (x - 2)²+ 4

c)

f(x) = (x - 2)²- 4

d)

f(x) = -(x - 2)² - 4

46.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

47.

How does the value for "h" transform a graph?

a)

Horizontal Shift (left/right)

b)

Vertical Shift (up/down)

c)

Vertical Stretch

d)

Vertical Compression

48.

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

a)

a reflection across the line x = -4

b)

a reflection across the line y = -4

c)

a translation shifting f(x) 4 units to the left

d)

a translation shifting f(x) 4 units to the right

49.

Which is the parent function of a parabola?

a)

y = x²

b)

y = 2x² + 3

c)

y = -x² -4

d)

y = -x²

50.

In the equation f(x)=1/2(x+9)²-1, what happens to the parabola?

a)

Reflect, compress by 1/2, left 9, down 1

b)

Compress by 1/2, left 9, down 1

c)

Compress by 1/2, right 9, down 1

d)

Stretch by 1/2, left 9, down 1

51.

In the equation f(x)=5(x+3)²-10 what does the 5 do?

a)

Stretch by 5

b)

Compress by 5

c)

Reflect

d)

Move up 5

52.

If the blue graph is
f(x) = x²the red must be...

a)

g(x) = (x + 3)²

b)

g(x) = (x - 3)²

c)

g(x) = x²+ 3

d)

g(x) = x²- 2

53.

If the graph of y = ax²+ bx + c opens down, which of the following must be true?

a)

a < 0

b)

a > 0

c)

c < 0

d)

c > 0

54.

The vertex form of the parabola is...

a)

y = a(x - h)² + k

b)

y = mx + b

c)

x = h

d)

f(x) = ax² + bx + c

55.

What is the shape of a quadratic graph?

a)

Parabola

b)

Line

c)

Square

Algebra 1 Review

Total questions: 55

Worksheet time: 3hrs 36mins

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