Operations & Basics
Evaluate: Show your work for exponents. What is the value of 4³ + 9?
4³ + 9
43+9
64+9
73
Write an algebraic expression for: "9 less than the product of 5 and a number x."
5x−9
Use the distributive property to expand:
3(2x+5z) + 2(x+z)
8x+17z
Solve for x: 3x=21
7
Which inequality matches a number line with a solid dot at -2 and arrow to the right?
x>−2
x<−2
x≥−2
x≤−2
x≥−2
If you have the expression 7x, what is the coefficient of 7x? (Write the numeric coefficient.)
7
Translate to an expression:
"the product of 4 and a number minus 7."
4n−7
Factor out the greatest common factor from 36y+24z
12(3y+2z)
If x=4, evaluate and simplify:
5x−9
11
Which value of b makes the inequality b>12 true?
Choose from: 11, 4, 15
15
Which of these shows an equivalent expression to 3(4x)?
a. 7x
b. 12x
c. 16x
b. 12x
Translate and simplify:
"the sum of twice a number n and 3, minus 5."
(2n+3)−5
Simplify by distributing and combining like terms: 3(4x)+2
12x +2
Solve for x.
x - 15 = 25
x = 40
Using PEMDAS, compute the value of 42−d+c^2
when c=3 and d=4. Show your steps.
47
Write an expression for the perimeter of a rectangle with length (2b + 4) and width (c). Then simplify.
4b + 8 + 2c
Use the distributive property to rewrite
4(3x+2) + 2(x+1)
12x + 8 +2x +2
14x +10
2x + 6 = 16
x =5