SHSAT SHSAT Algebra 3

Question 1

The product of two consecutive integers is 56. What are the integers?

Accepted Answer

7 and 8

Answer

7 × 8 = 56, and 7 and 8 are consecutive integers.

Question 2

Simplify: 3x + 4y − x + 2y

Accepted Answer

2x + 6y

Answer

Combine like terms: (3x − x) + (4y + 2y) = 2x + 6y.

Question 3

If 5 more than twice a number equals 21, what is the number?

Accepted Answer

8

Answer

Set up 2n + 5 = 21, subtract 5: 2n = 16, divide by 2: n = 8.

Question 4

What is the y-intercept of the line y = −2x + 6?

Accepted Answer

6

Answer

In y = mx + b, b is the y-intercept, so the y-intercept is 6.

Question 5

Solve for x: x/4 = 3/2

Accepted Answer

6

Answer

Cross-multiply: 2x = 12, divide by 2: x = 6.

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