SHSAT Math Practice 5

Question 1

If 4 workers can build a wall in 6 days, how many days would 3 workers take at the same rate?

Accepted Answer

8 days

Answer

Total work is 24 worker-days, so 3 workers take 24 / 3 = 8 days.

Question 2

What is the slope of the line passing through (1, 2) and (4, 11)?

Accepted Answer

3

Answer

Slope = (11 - 2)/(4 - 1) = 9/3 = 3.

Question 3

Simplify: (2x^3)(3x^4).

Accepted Answer

6x^7

Answer

Multiply coefficients (6) and add exponents (3+4=7) to get 6x^7.

Question 4

A bag has 3 red, 4 blue, and 5 green marbles. What is the probability of drawing a blue marble?

Accepted Answer

1/3

Answer

There are 12 marbles and 4 blue, so probability is 4/12 = 1/3.

Question 5

Solve for x: 2(x + 3) = 4x - 2.

Accepted Answer

4

Answer

2x + 6 = 4x - 2 gives 8 = 2x, so x = 4.

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