Algebra

If x = 5, what is 2x + 3?

• A8
• B10
• C13✓
• D15

Answer: If x = 5, then 2x + 3 = (2 × 5) + 3 = 10 + 3 = 13.

Solve: x + 7 = 12

• Ax = 3
• Bx = 6
• Cx = 4
• Dx = 5✓

Answer: x + 7 = 12. Subtract 7 from both sides: x = 12 - 7 = 5.

Solve: 3x = 15

• Ax = 5✓
• Bx = 3
• Cx = 4
• Dx = 6

Answer: 3x = 15. Divide both sides by 3: x = 15 ÷ 3 = 5.

What is the next number in the sequence: 2, 5, 8, 11, ...?

• A12
• B13
• C14✓
• D15

Answer: The sequence increases by 3 each time. 11 + 3 = 14.

If y = 3, what is 4y - 2?

• A8
• B10✓
• C12
• D14

Answer: If y = 3, then 4y - 2 = (4 × 3) - 2 = 12 - 2 = 10.

Solve: 2x + 5 = 13

• Ax = 3
• Bx = 5
• Cx = 2
• Dx = 4✓

Answer: 2x + 5 = 13. Subtract 5 from both sides: 2x = 8. Divide by 2: x = 4.

What is the rule for this sequence: 3, 6, 9, 12?

• AAdd 2
• BAdd 4
• CAdd 3✓
• DMultiply by 2

Answer: Each term increases by 3. The rule is: add 3 (or the nth term is 3n).

If a = 2 and b = 3, what is 5a + 2b?

• A16✓
• B17
• C18
• D19

Answer: 5a + 2b = (5 × 2) + (2 × 3) = 10 + 6 = 16.

Solve: x - 8 = 7

• Ax = 12
• Bx = 15✓
• Cx = 14
• Dx = 13

Answer: x - 8 = 7. Add 8 to both sides: x = 7 + 8 = 15.

What is the 5th term in the sequence with rule n + 2 (where n is the position)?

• A5
• B6
• C7✓
• D8

Answer: When n = 5, the term = 5 + 2 = 7.

Solve: 3x - 4 = 11

• Ax = 5✓
• Bx = 7
• Cx = 4
• Dx = 6

Answer: 3x - 4 = 11. Add 4 to both sides: 3x = 15. Divide by 3: x = 5.

If p = 4, what is p² + 3p?

• A22
• B23
• C24
• D28✓

Answer: If p = 4, then p² + 3p = (4 × 4) + (3 × 4) = 16 + 12 = 28.

What is the next term in the sequence: 100, 90, 80, 70, ...?

• A50
• B55
• C60✓
• D65

Answer: The sequence decreases by 10 each time. 70 - 10 = 60.

Solve: 2(x + 3) = 14

• Ax = 3
• Bx = 5
• Cx = 2
• Dx = 4✓

Answer: 2(x + 3) = 14. Divide both sides by 2: x + 3 = 7. Subtract 3: x = 4.

If the rule is 2n + 1, what is the 6th term?

• A11
• B12
• C13✓
• D14

Answer: When n = 6, the term = (2 × 6) + 1 = 12 + 1 = 13.

If x + 5 = 12, what is the value of x?

• A5
• B6
• C7✓
• D8

Answer: x + 5 = 12. Subtract 5 from both sides: x = 12 - 5 = 7.

If 3x = 15, what is x?

• A3
• B5✓
• C6
• D12

Answer: 3x = 15. Divide both sides by 3: x = 15 ÷ 3 = 5.

If 2x + 3 = 11, what is x?

• A3
• B4✓
• C5
• D6

Answer: 2x + 3 = 11. Subtract 3: 2x = 8. Divide by 2: x = 4.

What is the next number in the sequence: 2, 4, 6, 8, ...?

• A9
• B10✓
• C12
• D14

Answer: This is a sequence that increases by 2 each time. 8 + 2 = 10.

What is the next number in the sequence: 1, 3, 5, 7, ...?

• A8
• B9✓
• C10
• D11

Answer: This is a sequence of odd numbers that increases by 2 each time. 7 + 2 = 9.

If 5x - 2 = 13, what is x?

• A2
• B3✓
• C4
• D5

Answer: 5x - 2 = 13. Add 2: 5x = 15. Divide by 5: x = 3.

What is the next number in the sequence: 3, 6, 9, 12, ...?

• A13
• B14
• C15✓
• D16

Answer: This is a sequence that increases by 3 each time. 12 + 3 = 15.

If x - 7 = 3, what is x?

• A9
• B10✓
• C11
• D12

Answer: x - 7 = 3. Add 7 to both sides: x = 3 + 7 = 10.

What is the next number in the sequence: 2, 5, 8, 11, ...?

• A13
• B14✓
• C15
• D16

Answer: This is a sequence that increases by 3 each time. 11 + 3 = 14.

If 4x = 24, what is x?

• A4
• B5
• C6✓
• D8

Answer: 4x = 24. Divide both sides by 4: x = 24 ÷ 4 = 6.

If x + 12 = 25, what is x?

• A12
• B13✓
• C14
• D15

Answer: x + 12 = 25. Subtract 12 from both sides: x = 25 - 12 = 13.

If 3x + 4 = 19, what is x?

• A4
• B5✓
• C6
• D7

Answer: 3x + 4 = 19. Subtract 4: 3x = 15. Divide by 3: x = 5.

What is the next number in the sequence: 10, 20, 30, 40, ...?

• A45
• B50✓
• C55
• D60

Answer: This is a sequence that increases by 10 each time. 40 + 10 = 50.

If 2x + 7 = 15, what is x?

• A3
• B4✓
• C5
• D6

Answer: 2x + 7 = 15. Subtract 7: 2x = 8. Divide by 2: x = 4.

If x ÷ 3 = 8, what is x?

• A24✓
• B25
• C26
• D27

Answer: x ÷ 3 = 8. Multiply both sides by 3: x = 8 × 3 = 24.