Common Core HSA.CED.A.1 worksheet

Question 1

(x + 1) : (2x + 1) = 4 : 7. Find x.

x = 

Question 2

Solve: |x − 2| > 7

• A. x < 9
• B. −9 < x < 5
• C. −5 < x < 9
• D. x < −5 or x > 9

Question 3

Solve: |x − 8| = 11. Give both solutions, separated by a comma.

x = 

Question 4

The ratio x : y is 4 : 9, and y is 20 more than x. Find x.

x = 

Question 5

Solve: |3x| = 6. Give both solutions, separated by a comma.

x = 

Question 6

Solve: |x + 7| = 1. Give both solutions, separated by a comma.

x = 

Question 7

Solve: 2|x + 7| − 6 = −2. Give both solutions, separated by a comma.

x = 

Question 8

(x + 1) : (2x − 7) = 4 : 5. Find x.

x = 

Question 9

Solve: |x + 2| < 2

• A. −4 < x < 0
• B. x < −4 or x > 0
• C. 0 < x < 4
• D. x < 0

Question 10

Solve: |x − 1| = 8. Give both solutions, separated by a comma.

x = 

Question 11

The ratio x : y is 4 : 9, and y is 35 more than x. Find x.

x = 

Question 12

Solve: |3x − 9| = 9. Give both solutions, separated by a comma.

x = 

Question 13

Solve: |2x − 6| = 8. Give both solutions, separated by a comma.

x = 

Question 14

Solve: 3|x + 7| + 1 = 16. Give both solutions, separated by a comma.

x = 

Question 15

(x + 1) : (3x − 2) = 4 : 7. Find x.

x = 

Question 16

Solve: |x − 2| > 5

• A. x < 7
• B. x < −3 or x > 7
• C. −7 < x < 3
• D. −3 < x < 7