Praxis Core Academic Skills for Educators — All Questions

What is 25% of 80?

• a.16
• b.18
• c.20✓
• d.25

25% equals one-quarter, and one-quarter of 80 is 80 divided by 4, which is 20. You can also compute 0.25 times 80 to get 20.

Solve for x: 3x + 5 = 20.

• a.5✓
• b.7
• c.9
• d.15

Subtract 5 from both sides to get 3x = 15, then divide both sides by 3 to find x = 5. Substituting back, 3 times 5 plus 5 equals 20, confirming the solution.

If 4 pens cost $6, how much do 10 pens cost at the same rate?

• a.$10
• b.$12
• c.$14
• d.$15✓

Each pen costs $6 divided by 4, which is $1.50. Ten pens cost 10 times $1.50, which equals $15. Setting up the proportion 4/6 = 10/x gives the same result.

What is the mean (average) of the numbers 4, 8, 10, and 10?

• a.7
• b.8✓
• c.9
• d.10

Add the values: 4 + 8 + 10 + 10 = 32. Divide by the count of numbers, 4, to get a mean of 8. The mean is the sum divided by how many values there are.

A rectangle has a length of 8 units and a width of 3 units. What is its area?

• a.11 square units
• b.22 square units
• c.24 square units✓
• d.48 square units

The area of a rectangle is length times width: 8 times 3 equals 24 square units. Adding the sides instead would give perimeter-related values, not area.

A fair six-sided die is rolled once. What is the probability of rolling an even number?

• a.1/3
• b.1/2✓
• c.2/3
• d.1/6

The even outcomes are 2, 4, and 6, which is 3 of the 6 equally likely faces. The probability is 3/6, which simplifies to 1/2.

Evaluate: -3 + 5 × 2.

• a.7✓
• b.4
• c.-1
• d.16

Using order of operations, multiply first: 5 times 2 equals 10. Then add: -3 + 10 equals 7. Multiplication is performed before addition.