Common Core HSA.REI.A.1 worksheet

Question 1

Aisha solved an inequality: 1) −5x + 7 > −8 2) −5x > −15 3) x < 3 Which line has the first mistake?

• A. Line 2
• B. Line 3
• C. There is no mistake

Question 2

Does x = −5 satisfy 4x − 3 > −27?

• A. Yes
• B. No

Question 3

Solve 2^(x − 1) = 8^x.

x = 

Question 4

Solve 2^(x + 1) = 4.

x = 

Question 5

Solve 8^x = 16. Give a fraction or decimal.

x = 

Question 6

Aisha solved an inequality: 1) −2x − 8 ≤ −2 2) −2x ≤ 6 3) x ≥ −3 Which line has the first mistake?

• A. Line 2
• B. Line 3
• C. There is no mistake

Question 7

Does x = −3 satisfy 4x − 8 < −24?

• A. Yes
• B. No

Question 8

Solve 4^(x + 1) = 8^x.

x = 

Question 9

Solve 5^(x + 3) = 25.

x = 

Question 10

Solve 4^x = 32. Give a fraction or decimal.

x = 

Question 11

Lucia solved an inequality: 1) −2x + 7 < 1 2) −2x < −6 3) x > 3 Which line has the first mistake?

• A. Line 2
• B. Line 3
• C. There is no mistake

Question 12

Does x = −3 satisfy −4x − 1 < 7?

• A. Yes
• B. No

Question 13

Solve 4^(x + 3) = 8^x.

x = 

Question 14

Solve 3^x = 81.

x = 

Question 15

Solve 4^x = 32. Give a fraction or decimal.

x = 

Question 16

Elena solved an inequality: 1) −5x − 4 > −19 2) −5x > −15 3) x > 3 Which line has the first mistake?

• A. Line 2
• B. Line 3
• C. There is no mistake