Unit 1: Solving Linear Equations Test

One-Step Equations

100

Fill in the blank:

When solving equations you must use _____ operations.

inverse or opposite

200

y-10=-15

y=-5

300

-6w=30

w=-5

400

x/2=11

x=22

500

3+x=3

x=0

Multi-Step Equations

100

-2x-16=58

x=-37

200

x+x+32=126

x=47

300

2x+1+3x-3+7x+2=180

x=15

400

-2(x-4)+8x=68

x=10

500

5(3y+2)-3=40-3

y=2

Variables on Both Sides

100

-2x-4=-5x+32

x=12

200

4x+8=x+41

x=11

300

-2(x-4)=7x-28

x=4

400

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

x=5

500

2(x+5)=5x+10-3x

IMS

Literal Equations

100

Solve for b.

a=bc

b=a/c

200

Solve for c.

a = b+c+d

c=a-b-d

300

Solve for b.

A=½bh

b=2A/h

400

Solve for a.

a²+b²=c²

a= √c²-b²

500

Solve for m

y=mx+b

m=(y-b)/x

Word Problems

100

Fill in the blank:

When solving a word problem, you always need a _____ in your final answer.

label

200

The temperature was 25°F in the morning. It increased by x degrees by noon, reaching 37°F.
Write an equation to represent how many degrees the temperature rose. Then solve.

25+x=37

x=13 degrees

300

A watermelon weighs x pounds more than a cantaloupe. If the cantaloupe weighs 6 pounds and the watermelon weighs 10 pounds, how much more does it weigh? Write an equation & solve.

6+x=10

x=4 pounds

400

A babysitter earns $9 per hour. If she earned $45, how many hours did she work? Write an equation & solve.

9x=45

x=5 hours

500

Movie tickets cost $12 each. If a group spent $48, how many tickets did they buy? Write an equations & solve.

12x=48

x=4 tickets