Free Printable 2.1 ACC Equations Test

1.

Solve:

5x + 4 = 5x − 3

a)

x = 4

b)

x = -3

c)

infinitely many solutions

d)

no solutions

2.

Solve:

4x + 1 = 8x − 3

a)

x = 1

b)

x = 2

c)

infinitely many solutions

d)

no solutions

3.

Solve:

6(y + 4) = 6y + 10

a)

y = 10

b)

y = 24

c)

infinitely many solutions

d)

no solutions

4.

Solve:

10x + 3 + 3x = 5x + 1 + 8x + 2

a)

x = -3

b)

x = 3

c)

infinitely many solutions

d)

no solutions

5.

Solve the equation and state if it has one, many, or no solutions.

10x - 9 = 2x + 63

a)

x = 9, one solution

b)

x = 8, one solution

c)

Many Solutions

d)

No solution

6.

Solve the equation and state if it has one, many, or no solutions.

9y + 2 = 3(3y + 2) - 4

a)

One solution

b)

Many Solutions

c)

No Solution

7.

Solve the equation and state if it has one, many, or no solutions.

2(x - 8) = 7 + 2x

a)

One solution

b)

Many Solutions

c)

No Solution

8.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

9.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

10.

Solve for a: 12am = 4

a)

$a\ =\frac{1}{3m}$

b)

a = 4 -12m

c)

$a\ =\ \frac{12m}{4}$

d)

$a\ =\ 12m\ -\ 4$

11.

Solve for a: $u\ =\ \frac{\left(ak\right)}{b}$

a)

a = ukb

b)

a = uk + b

c)

$a\ =\ \frac{\left(ub\right)}{k}$

d)

$a\ =\ \frac{k}{ub}$

12.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

13.

$Given\ mx+4y=3t,\ solve\ for\ x.$

a)

$x=\ \frac{3t+4y}{m}$

b)

$x=\frac{3t-4y}{m}$

c)

$x=\frac{3m-4y}{t}$

d)

$x=\frac{3y+4t}{m}$

14.

$Given\ V=lwh,\ solve\ for\ l.$

a)

$l=\frac{Vw}{h}$

b)

$l=\frac{V}{wh}$

c)

$l=\frac{Vh}{w}$

d)

$l=\frac{wh}{V}$

15.

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

a)

x = 6

b)

x = -6

c)

x = 9

d)

x = -9

16.

$\frac{2}{3}x-\frac{1}{6}=\frac{5}{6}x-\frac{2}{3}$

Put just the value of x into the blank.

(a)

17.

$\frac{3x-1}{2}-\frac{x-2}{3}=6$

Put just the value of x into the blank.

(a)

18.

b\ +\ \frac{4}{5}=\ \frac{9}{10}

a)

$b\ =\frac{1}{10}$

b)

$b\ =\ \frac{13}{15}$

c)

$b\ =\frac{5}{5}$

d)

$b\ =\frac{13}{5}$

19.

Solve for x:

50=\frac{5}{4}\left(3x-8\right)

a)

$x=\frac{16}{3}$

b)

$x=16$

c)

$x=4$

d)

$x\ =\ \frac{15}{4}$

20.

solve for m

a)

-15

b)

15

c)

30

d)

-30

21.

The sum of three consecutive numbers is eighty - seven. What is the smallest of the three numbers?

a)

84

b)

29

c)

28

d)

17

22.

Find three consecutive even integers such that the sum of twice the smallest number and three times the largest is 42.

a)

6, 8, 10

b)

16, 18, 20

c)

18, 20, 22

d)

10, 12, 14

23.

The length of a rectangle is 5 less than twice the width. If the perimeter of the rectangle is 146 centimeters, find the dimensions of the rectangle.

a)

68

b)

47

c)

84

d)

20

24.

Solve the following equation:

$2\left(x+4\right)=14$

(a)

25.

Solve the following equation:

$7\left(x-1\right)-3-8x=-9$

(a)

26.

Solve the following equation:

$5\left(2x+5\right)-5x=50$

(a)

27.

Solve the following equation:

$-x-1=x-21$

(a)

2.1 ACC Equations Test

Total questions: 27

Worksheet time: 48mins

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