Free Printable Solving Equations Milestone Prep

1.

Solve the following equation,
3x + 6 = 21

a)

x = 9

b)

x = 5

c)

x = 15

d)

x = 27

2.

5(2x - 7) = 80

a)

x = 11.5

b)

x = 115

c)

x = 12

d)

x = 16

3.

Solve $8y+3=27$

a)

$y=3$

b)

$y=-3$

c)

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

d)

$y=16$

4.

Solve $2\left(5x-3\right)=14$

a)

$x=2$

b)

$x=\frac{17}{10}$

c)

$x=\frac{31}{5}$

d)

$x=\frac{4}{5}$

5.

a)

5

b)

-5

c)

7

d)

-7

6.

Which of the following is the correct equation to solve the problem given?

Three consecutive integers add up to 279, what are the three integers?

a)

$3x=279$

b)

$3x+3=279$

c)

$3x-3=279$

d)

$x+3=279$

7.

Which of the following is the correct equation to solve the problem below?

Four consecutive integers add up to 370, what are the four integers?

a)

$4x+4=370$

b)

$4x+6=370$

c)

$3x+4=370$

d)

$3x+3=370$

8.

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

a)

4x=472

b)

9x=472

c)

4+9x=472

d)

4+x=472

9.

Which equation would describe "two times a number plus five equals 15"?

a)

x + 5 = 15

b)

2x + 5=15

c)

x + 2(5) = 15

d)

2(x + 5) = 15

10.

If one restaurant pays their employees $20 every night and an additional $3 per table they serve, and another restaurant pays their employees $28 every night with an additional $2 per table they serve, determine how many tables you must serve at each restaurant in order to receive the SAME amount of pay.

a)

8 tables

b)

12 tables

c)

About 10 tables

11.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

12.

Solve for x and y
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

13.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

14.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

15.

What are the solutions to $\left(x-6\right)^2=225$ ?

a)

A.

$x=21$ and $x=-9$

b)

B.

$x=21$ and $x=9$

c)

C.

$x=118.5$ and $x=106.5$

d)

D.

$x=231$ and $x=216$

16.

Charlie is solving $3x^2+5x=12$ by factoring. Which of the following describes what his first step should be?

a)

A.

Divide both sides f the equation by 3.

b)

B.

Take the square root of both sides of the equation.

c)

C.

Subtract 12 from both sides of the equation.

d)

D.

Find two values with a sum of 5 and a product of 12.

17.

What are the solutions to $x^2+16x=8$ ?

a)

A.

$x=8\pm6\sqrt[]{2}$

b)

B.

$x=-16\pm2\sqrt[]{14}$

c)

C.

$x=-8\pm6\sqrt[]{2}$

d)

D.

$x=-8\pm2\sqrt[]{14}$

18.

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%

19.

Write and exponential function for the following problem: Mrs. Madison starts the year off with 100 pencils. Each week, half of the pencils disappear. How many would be left after x weeks?

a)

$y=100\left(2\right)^x$

b)

$y=100\left(\frac{1}{2}\right)^x$

c)

$y=2x\ +\ 100$

d)

$y=\left(\frac{1}{2}\right)^x$

20.

Every time Pinocchio lies his nose grows 20%. The growth of his nose can be modeled by $n\left(t\right)=2\left(1+.2\right)^t$ . What was the length of his nose originally?

a)

2

b)

2.4

c)

4.98

d)

7.17

21.

Jiminy Cricket is in the yard when it starts to rain. As more rain falls, Jiminy can't jump as far. This can be modeled by $3\left(\frac{1}{2}\right)^t$ . How far away from the house was Jiminy when the rain began?

a)

.75

b)

1/2

c)

3

d)

1.5

22.

10x + 9 = 4x - 9

a)

0

b)

3

c)

-3

d)

-18

23.

Solve the following equation for $x.$

$-5x\ +\ 2\ =\ 2x\ +\ 9$

a)

$x\ =\ 2$

b)

$x\ =\ 1\ \frac{2}{7}$

c)

$x\ =\ -1$

d)

$x\ =\ 1$

24.

Solve for the indicated variable.

a)

A

b)

B

c)

C

d)

D

25.

$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)

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

26.

$Given\ xy\ +\ w\ =\ 9,\ solve\ for\ y.$

a)

$y=\frac{9+w}{x}$

b)

$y=\frac{9-x}{w}$

c)

$y=\frac{9-w}{x}$

d)

$y=\frac{9+x}{wy}$

27.

IR = V

(solve for R)

a)

$R=IV$

b)

$R=\frac{I}{V}$

c)

$R=\frac{V}{I}$

d)

$R=V-I$

28.

$W=\frac{A}{L}$

(solve for A)

a)

$A=\frac{W}{L}$

b)

$A=LW$

c)

$A=W+L$

d)

$A=W-L$

29.

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t² + 8t + 24

How high is the platform?

a)

.25 ft

b)

24 ft

c)

25 ft

d)

8 ft

30.

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation:

h = -16t² + 80

About how long did it take for the balloon to hit the ground?

a)

1.73 seconds

b)

2.24 seconds

c)

2.45 seconds

d)

2.83 seconds

31.

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t²+ 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

a)

0.5 seconds

b)

1 second

c)

1.5 seconds

d)

2 seconds

e)

3 seconds

32.

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

a)

1 foot

b)

5 feet

c)

7 feet

d)

8 feet

e)

12 feet

Solving Equations Milestone Prep

Total questions: 32

Worksheet time: 2hrs 48mins

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