SHSAT SHSAT Algebra

Question 1

Solve for x: 3x + 7 = 22

Accepted Answer

5

Answer

Subtract 7 from both sides to get 3x = 15, then divide by 3 to get x = 5.

Question 2

If 2(x − 3) = 10, what is x?

Accepted Answer

8

Answer

Distribute to get 2x − 6 = 10, add 6 to both sides: 2x = 16, divide by 2: x = 8.

Question 3

Which expression represents 'five less than three times a number n'?

Accepted Answer

3n − 5

Answer

'Three times a number' is 3n, and 'five less than' means subtract 5, giving 3n − 5.

Question 4

If y = 4x − 1 and x = 3, what is y?

Accepted Answer

11

Answer

Substitute x = 3: y = 4(3) − 1 = 12 − 1 = 11.

Question 5

What is the value of 5x² when x = 2?

Accepted Answer

20

Answer

Calculate x² = 4 first, then multiply by 5: 5 × 4 = 20.

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