Common Core HSA.REI.B.3 worksheet

Question 1

Solve: |x − 3| = 4. Give both solutions, separated by a comma.

x = 

Question 2

Solve: x + 7 < 2 or 3x − 2 > −11

• A. x < 2 or x > −9
• B. x < −5 or x > −3
• C. x > −5 or x < −3
• D. −5 < x < −3

Question 3

Solve: |x + 2| = 1. Give both solutions, separated by a comma.

x = 

Question 4

Solve: 2(x + 4) > 4x + 2

• A. x < −3
• B. x < 5
• C. x > 3
• D. x < 3

Question 5

Solve: 5|x − 1| + 6 = 26. Give both solutions, separated by a comma.

x = 

Question 6

Rearrange 3x + 3y = −18 to make y the subject. Type the expression for y.

Answer 

Question 7

For what value of k does 3x − 1 = kx + 3 have no solution?

Answer 

Question 8

Solve: |x − 1| < 2

• A. x < −1 or x > 3
• B. −3 < x < 1
• C. −1 < x < 3
• D. x < 3

Question 9

How many solutions does 2|x − 3| − 1 = 5 have?

Answer 

Question 10

How many solutions does 4(x − 3) + 8 = 4x − 4 have?

• A. Exactly one solution
• B. No solution
• C. Infinitely many solutions

Question 11

How many integers x satisfy 8 < 5x − 2 < 23?

Answer 

Question 12

How many solutions does |x + 4| = −5 have?

Answer 

Question 13

Solve: 6x + 10 ≤ 52

• A. x ≤ 6
• B. x ≥ 7
• C. x ≤ 7
• D. x ≤ −7

Question 14

Solve a·x − b = c·x for x.

Answer 

Question 15

Solve: −1 < −x + 4 < 2

• A. −5 < x < −2
• B. 5 < x < 2
• C. 2 < x < 5

Question 16

Solve: (x + 9)/4 = −2

x =