Simplify It (Distributive & Properties)
Write an expression that is equivalent to
(4x + 3) \cdot 5
20x + 15
What is the value of 6^4 ?
Answer: 1,296
Solve for x: 9x - 4x = 30
Answer: x = 6
Solve for x: -4 + x = -10 .
Answer: x = -6
The Area of a rectangle is 32.4 ft ^2 . The base is 4 ft. What is the height? (Formula: A = bh).
Answer: 8.1 ft
Which expression is equivalent to 12(100y - 50)?
A. 1200y - 50
B. 1200y - 600
C. 1200y + 600
D. 100y - 600
12 \cdot 100y - 12 \cdot 50 or (1200y - 600)
Simplify: 10 - 2(3 + 1).
Answer: 2
Fill in the blank to make these two expressions equivalent:
Expression 1: 50 - (-10)
Expression 2: ___ + 50
Answer: 10
Solve for x: 8x - 2x = -24 .
Answer: x = -4
Solve:5 + \frac{1}{2}x - 2 = 10 .
Answer: x = 14
Which two expressions are equivalent?
A) 10 \div (2+x) and (10 \div 2) + x
B) (5 + 4) \cdot x and 5 + (4 \cdot x)
C) 15 + (x \cdot 4) and 15 + (4 \cdot x)
15 + (x \cdot 4) and 15 + (4 \cdot x)
(Commutative Property of Multiplication)
Simplify:6^2 - 5(2^3 - 5) - 4 .
Answer: 17
Solve for x: 4 + \frac{1}{2}x = 14
Answer: x = 20
Solve for x: 5x + 3x + 10 = 50 .
Answer: x = 5
You pay a one-time fee of $50 and $20 per month. Which equation represents the total cost (y) for x months?
A) 50x + 20 = y
B) 20x + 50 = y
Answer: B) 20x + 50 = y
Complete the equivalent expression:
500r - (-20) = ___ + 500r
20
Simplify: 4^2 + (10 - 4)^2 \div 2 .
Answer: 34
A student solved 2x + 4 = 10. Their first step was to divide by 2 to get x + 4 = 5. What did they do wrong?
They divided the 2x and the 10, but they forgot to divide the +4 by 2 as well.
They should have subtracted 4 first.
Solve for x: -5x - 8 = 27 .
Answer: x = -7
A gym charges a $100 joining fee plus $40 a month. You spent $580 total. Write an equation to find the months (x).
Answer: 40x + 100 = 580