Free Printable Algebra 1 Final Review Part 1

1.

$\frac{x}{-2}+3=-3$

a)

$x=0$

b)

$x=12$

c)

$x=-3$

d)

$x=-6$

2.

$-4x+3=-29$

a)

$x=4$

b)

$x=6$

c)

$x=2$

d)

$x=8$

3.

Find the error in the problem below
19 - 2k = 3k - 1
+3k +3k
19 + 1k = -1
-19 -19
k = -20

a)

They should have divided by 1 for the last step

b)

They should add 19 instead of subtracting 19

c)

I can not find an error

d)

Instead of adding 3k they should subtract 3k

4.

A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?

a)

9ft x 10ft

b)

1ft x 2ft

c)

12ft x 6ft

d)

18ft x 20ft

5.

The scale of a map says that 6 cm represents 15 km. What distance on the map represents an actual distance of 6 kilometers?

Which proportion represents the problem?

a)

$\frac{6}{6}=\frac{15}{x}$

b)

$\frac{15}{6}=\frac{x}{6}$

c)

$\frac{6}{15}=\frac{x}{6}$

6.

Convert 3.5 gallons into cups. (1gal = 16cups)

a)

56 cups

b)

0.21875 cups

c)

19.5 cups

d)

48 cups

7.

If you check your measuring equipment and calibrate it to make sure it's properly zeroed, your results will be more...

a)

Accurate

b)

Reliable

c)

Precise

d)

Fair

8.

If you measure to finer intervals eg: mm instead of cm then the results will be more...

a)

Accurate

b)

Reliable

c)

Precise

d)

Fair

9.

Identify the coefficient in the expression.
6y + 7

a)

6y

b)

7

c)

6

d)

1

10.

Identify the variable in the expression 5y+7?

a)

x

b)

5y

c)

y

d)

7

11.

Identify the constant:

7c + 8 y + 32

a)

7

b)

c

c)

y

d)

32

e)

8

12.

The product of n and 5

a)

n + 5

b)

5n

c)

$\frac{n}{5}$

d)

n5

13.

The quotient when y is divided by 8

a)

y - 8

b)

$\frac{8}{y}$

c)

$\frac{y}{8}$

d)

0.8y

14.

8 less than the product of 2 and w.

a)

$2w-8$

b)

$8-2w$

15.

x - 62 = 123

How should you show your work to isolate the variable and solve the equation?

a)

Add 62 to each side.

b)

Subtract 62 from each side.

c)

Multiply each side by 62.

d)

Add 123 to each side.

16.

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

a)

15x + 2.5 = 10x + 3

b)

15 - 2.5x = 10 - 3x

c)

15 + 2.5x = 10 + 3x

d)

15 - 10 = 2.5x + 3x

17.

Solve for y : 2y + 3 = y +5

a)

4

b)

10

c)

2

d)

5

18.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

19.

2h = w-3p
(solve for p)

a)

p = -(2h - w) / 3

b)

p = (2h - w) / 3

c)

p = -6hw

d)

p = -6h - 3w

20.

A-B = C
(solve for A)

a)

A = C - B

b)

A = C + B

c)

A - C = B

d)

B = A - C

21.

Pick a solution that satisfies the inequality:
X/5 ≥ 7

a)

34

b)

44

c)

-34

d)

-44

22.

Which inequality is represented by the following graph

a)

x < -8

b)

x > -8

c)

x ≥ -8

d)

x ≤ -8

23.

Which inequality is represented by the following graph

a)

x > 9

b)

x < 9

c)

x ≥ 9

d)

x ≤ 9

24.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

25.

Is this graph Discrete or Continuous?

a)

Discrete

b)

Continuous

26.

Is the graph pictured discrete or continuous?

a)

Discrete

b)

Continuous

27.

Discrete or Continuous?

a)

Discrete

b)

Continuous

28.

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}

29.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

30.

What is the range of the following graph?

a)

{-5, -1, 0 , 1, 5}

b)

{-4, -2, 0, 3, 6}

c)

(-4, 1) ( 6, 0)

d)

(6, 0)

31.

Identify the independent variable:

The amount of money, m, earned if t raffle tickets are sold

a)

money, m

b)

tickets, t

32.

Sophie earned $5 for every A she got on her report card.

m = money

A = A on report card

The dependent variable is:

a)

m = money

b)

A = A on report card

33.

A food service worker earns $12 per hour. How much money, m, does the worker earn on a shift of h hours? Identify the dependent variable.

a)

money

b)

hours

34.

Grace is bringing treats to her Algebra 1 class on her birthday. The number of treats she brings is based on the number of students in her class.

Which of the variables is independent?

a)

number of students

b)

number of treats

35.

Evaluate f(-2) if f(x) = x+3

a)

-1

b)

1

c)

5

d)

-5

36.

What is f(8)?

a)

8

b)

0

c)

3

d)

-2

37.

Does this mapping diagram represent a function?

a)

No, because there are repeating input values

b)

Yes, because there are no repeating input values

38.

How would you write

y=2x-3

in function notation?

a)

$y=2x-3$

b)

$f=2x-3$

c)

$f\left(x\right)=2x-3$

39.

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

Evaluate:

g\left(-7\right)

a)

$g\left(-7\right)=-30$

b)

$g\left(-7\right)=-26$

c)

$g\left(-7\right)=-36$

d)

$g\left(-7\right)=26$

40.

Given the graph,

find:

f\left(0\right)

a)

$f\left(0\right)=7$

b)

$f\left(0\right)=1$

c)

$f\left(0\right)=2$

d)

$f\left(0\right)=0$

41.

Given the graph,

find the value of x when:

f\left(x\right)=5

a)

$x=5$

b)

$x=0$

c)

$x=3$

d)

$x=2$

Algebra 1 Final Review Part 1

Total questions: 41

Worksheet time: 21mins

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