Integer Operations
Evaluate: -7 + 12
What is 5?
Evaluate: 4 + 3(6 - 2)
What is 16?
In the term -7x, identify the coefficient.
What is -7?
A student wrote 3x + 5 + 4x - 2 = 7x + 7. Identify the error and correct it.
What is: the constants were combined incorrectly; the correct result is 7x + 3?
A student says 30 ÷ 5 × 2 = 3 because multiplication comes first. Explain and give the correct value.
What is 12, because multiplication and division have equal priority and are completed left to right?
Evaluate: 9 - 14
What is -5?
Evaluate: 5² - 12 ÷ 4
What is 22?
Name the constant in 4x + 3y - 9.
What is -9?
A student wrote 7x + 4y - 3x = 8y. Identify the error and correct it.
What is: unlike terms were combined; the correct result is 4x + 4y?
Joe borrowed $9 from John and paid back $6. Write an equation showing that Joe still owes $3.
What is -9 + 6 = -3?
Evaluate: (-6)(-4)
What is 24?
Evaluate: 2(5 + 4) - 3²
What is 9?
Which pair contains like terms: 5x and -2x, or 5x and 5x²?
What are 5x and -2x?
A student wrote 8m - 5 + 3m + 7 = 11m + 12. Identify the error and correct it.
What is: -5 + 7 = 2, so the correct result is 11m + 2?
A game awards 8 points for each win and subtracts 3 points for a penalty. A team has 4 wins and 2 penalties. Write and evaluate an expression.
What is 4(8) - 2(3) = 26 points?
Evaluate: -48 ÷ 6 + 3
What is -5?
Evaluate: 18 - (4 + 2)² ÷ 6
What is 12?
Simplify: 8a - 5 + 3b - 2a + 10 - 7b + 4a
What is 10a - 4b + 5?
A student wrote 2x² + 5x - x² + 4 = x² + 9x. Identify the error and correct it.
What is: 5x and 4 are unlike terms; the correct result is x² + 5x + 4?
A student buys 3 notebooks for $4 each and uses a $5 coupon. Write and evaluate an expression for the total cost.
What is 3(4) - 5 = $7?
Evaluate: -3[4 - (-2)] + 5
What is -13?
Evaluate: 2³ + 24 ÷ (8 - 2) × 5
What is 28?
Explain why 3x² and 8x are not like terms.
What is: their variables do not have the same exponent?
A student evaluated 18 ÷ 3 × 2 as 18 ÷ 6 = 3. Identify the misconception and correct it.
What is: multiplication and division are done left to right; 18 ÷ 3 × 2 = 12?
The temperature was -4°F and rose 11°F. Write and solve an equation for the new temperature.
What is -4 + 11 = 7°F?