Combine like terms to create an equivalent expression
1 Combine like terms to create an equivalent expression.
1/2(3y+10)
2 Evaluate: 8a+3b10+c^2 when a=2, b=5b, and c=4
3 Solve for a.
Reduce any fractions to lowest terms. Don’t round your answer, and don’t use mixed fractions.
60a+64greaterthanorequalto80a92
4 The house Trevor’s family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 48 minutes and used an average 72 gallons of shower water (over the entire month). Water costs 8 dollars per gallon.
How much money did Trevor’s family spend, in total, on shower water in the past month?
5 Graph a line with a slope of 3divdedby4 that contains the point (2,3).
6 What is the slope of the line through (9,6) and (3,9)(3,9)?
7 Graph y=x+4y
8 What is the result of adding these two equations?
5x9y=1
7x+2y=5
9 Is (3,2) a solution of 7x+9y>3?
10 Hailey ran a few laps.
D(n) models the duration (in seconds) of the time it took for Hailey to run her nth lap.
n: 3 7 9
D(n): 85 99 110
When did the lap duration increase faster?
11 What is the next term of the geometric sequence?
5,20,80, …
12 Find the square root.
squareroot200=
13 Simplify.
Multiply and remove all perfect squares from inside the square roots. Assume b is positive.
24squarerootb^3 times 40squarerootb^2 times squarerootb^2=
14 h(x)=(x3)^2
What is the domain of h?
15 g(r) =5r+13
g(3)=
16 Mary invests $3000 in a certificate of deposit that earns 1.4% in interest each year.
Write a function that gives the total value V(t) in dollars, of the investment t years from now.
V(t)=
17 Let a and b be rational numbers. Is a – b rational, irrational, or both?
18
Solve for x.
3x^2+18x+27=0
19 Find the zeros of the function.
Enter the solutions from least to greatest.
g(x)=10×2+490
Lesser x=
