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Quarter 1 Algebra 1- Hurtado/Erath

Total questions: 40

Worksheet time: 2hrs 13mins

Name
Class
Date
1.

-12 = x + 7

a)

-19

b)

-5

c)

5

d)

19

2.

x - 3 = -10

a)

-7

b)

-13

c)

7

d)

13

3.

-3y = 24

a)

-8

b)

-72

c)

8

d)

72

4.

-h4 = -10

a)

5/2

b)

-5

c)

2

d)

5

5.

3πp = -12π

a)

-4

b)

-36

c)

4

d)

36

6.

23y = -4

a)

-0.17

b)

-0.09

c)

0.17

d)

0.09

7.

Use 3.14 for π. Solve for h (round the decimal to decimal places)

3 = h4π

a)

0.24

b)

0.75

c)

1.33

d)

4.71

8.

r + 6.8 = 2.4

a)

-4.4

b)

-9.2

c)

4.4

d)

9.2

9.

n - 6 = -7

a)

-1

b)

1

c)

13

d)

-13

10.

-3v = -18

a)

-6

b)

6

c)

-15

d)

15

11.

Solve the Absolute Value equation:

| X - 6 | = 4

a)

-2, -10

b)

-32, 40

c)

2, 10

d)

4, 12

12.

| 12 + x | = 23

a)

-11, -35

b)

10, -35

c)

11, -35

d)

35

13.

| z - 34 | + 3 = 13

a)

-21, 43

b)

24, -47

c)

44, 24

d)

47, 44

14.

w - 56 = 14

a)

-42

b)

-70

c)

42

d)

70

15.

The balance of an investment account is $208.52 greater than the balance 4 years ago. The current balance is $4125.77. What was the balance 4 years ago?

a)

$3917.25

b)

$4317.29

c)

$3917.29

d)

$4317.25

16.

You and a friend are playing a board game. Your final score x is 12 points less than your friend's final score. Write and solve an equation to find your final score.

a)

x = friend's score - 12

b)

x = friend's score + 12

c)

x = friend's score / 12

d)

x = friend's score * 12

17.

Solve the equation for C

a)

C = Rds

b)

C = Rd/s

c)

C = Rs/d

d)

no solution

18.

Solve the equation.

a)

x=-1

b)

x=1

c)

x-3

d)

x=9

19.

Solve the equation.

a)

x=-6

b)

x=-4

c)

x=4

d)

x=6

20.

Solve the equation.

a)

x=-6

b)

x=-3

c)

x=3

d)

x=6

21.

Solve the equation. Select ALL answers.

a)

x=-17

b)

x=-3

c)

x=3

d)

x=17

22.

Solve the equation. Select ALL answers.

a)

x= -7

b)

x = 113\frac{11}{3}

c)

x = 113-\frac{11}{3}

d)

x= 7

23.

Solve the equation.

a)

x = 15-\frac{1}{5}

b)

x = 25\frac{2}{5}

c)

x = All Solutions

d)

No Solution

24.
Absolute value is defined as...
a)
always positive numbers
b)
negative numbers becoming positive
c)
distance from zero
d)
numbers on the number line
25.

∣ 2x + 9 ∣ = 15

a)

x = 3

b)

x = 3, -6

c)

x = 3, -12

d)

x = 6, -12

26.

Solve |x – 12| - 3 = 11.

a)

x = -2, -26

b)

x = -2, 26

c)

x = 3, 25

d)

x = 4, -7

27.

|−2n| + 10 = −50

a)

r = 30, -30

b)

r = 20,-20

c)

r = -5,5

d)

No Solution

28.

Solve for r.

−2|−2r − 4| = -12

a)

r = 5,1

b)

r = -5,-1

c)

r = -5,1

d)

No Solution

29.

|3m - 9| = 18

a)

m = 9,-3

b)

m = 9,3

c)

m = 9

d)

no solution

30.

|d + 3| = 6 - 2d

a)

d = 1, 9

b)

d = -1

c)

d = 1

d)

no solution

31.

Simplify:

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

32.

Simplify:

3x + 2x + 3y - 7y

a)

5x + 10y

b)

5x + 4y

c)

5x - 4y

d)

5x -10y

33.

Solve for y: y3x=13y-3x=13

a)

y=3x+13y=3x+13

b)

y=3x+13y=-3x+13

c)

y=3x13y=3x-13

d)

y=3x13y=-3x-13

34.

solve for R

pV = nRT

a)

R= pVnT\frac{pV}{nT}

b)

R= pn+VT\frac{p}{n}+\frac{V}{T}

c)

R= pV - nT

d)

R= (pVn)T\frac{\left(pV-n\right)}{T}

35.

Solve for y

5x - 3y = -9

a)

y = 5/3x - 3

b)

y = 5/3x + 9

c)

y = 5/3x + 3

d)

y = 3/5x + 3

36.

Solve for y

2y + 4x = 12

a)

y = -4x + 12

b)

y = -4x + 6

c)

y = -2x + 6

d)

y = -2x + 4

37.

Solve:

2(x+1) = 6

a)

x = -1

b)

x = 4

c)

x = 2

d)

x = -2

38.

Given the two values, X = 2 and X = -8 on a number line,

Find the absolute value equation.

a)

| x + 3 | = 5

b)

| x - 3 | = 5

c)

| x + 5 | = 3

d)

| x - 5 | = 3

39.

Given the two values for X on the number line,

x = 4 and x = -6

Write the absolute value equation

a)

| x - 6| = 5

b)

| x + 1 | = 5

c)

| x - 5 | = 1

d)

no solution

40.

Solve:

-2(x-1) = 6

a)

x = 2

b)

x = -2

c)

x = 4

d)

x = -4