Alg 1R Unit 2 Review

Solving One and Two Step Equations

100

x+2=6

x=4

200

6p=72

x=12

300

-7+3m=8

m=5

400

2/3x-4=16

x=30

500

(x+4)/3=12

x=32

Solving Multistep Equations

100

2x-8+5x=13

x=3

200

9n-3=4n+17

n=4

300

3x-7=3x+8

No solution

400

4+k-8k=11-6k+3

k=-10

500

3(p-2)-(p+6)=4(p-7)

p=8

Solving Equations with Fractions

100

5/4x=40

x=32

200

3/x=10/7

x=2.1 or x=21/10

300

(3x+5)/11=-2

x=-9

400

(x+1)/2=(x+2)/3

x=1

500

1/3(x-7)=1/5x-2

x=5/2

Translating

100

8 more than a number 

x+8

200

6 less than a number 

x-6

300

10 subtracted from the product of 3 and a number 

3x-10

400

The quotient of a number and 4, increased by 7

x/4+7

500

3 times the sum of a number and 5 subtracted from 4 times the difference of the same number and 3, is 27

4(x-3)-3(x+5)=27

Word Problems

100

Seven less than three times a number is equal to 29. Find the number. 

12

200

The sum of two consecutive even integers is 46. Find the two integers. 

22 and 24

300

The larger of two consecutive integers is 7 less than three times the smaller integer. Find the two consecutive integers. 

4 and 5

400

A rectangle has a perimeter of 54 cm. Its length is 3 cm more than its width. Find the length and width of the rectangle. 

Width: 8 cm

Length: 19 cm

500

Emma, Liam and Noah each have different numbers. The sum of the three numbers is 48. Liam's number is 5 more than twice Noah's number and Noah's number is 3 less than Emma's number. What are the three numbers?

Noah- 10

Emma- 13

Liam - 25