Linear Equations
Solve for p
p − 1 =5p + 3p − 8
p=1
solve the inequality
4/n<3
n<1.33
Evaluate
3(6+7)
39
Find the GCF of the following numbers
12, 36, 60, 24
6
Write m^2 as a multiplication problem.
m^2=m x m
solve for a
u=ak/b
a=ub/k
solve the inequality
18>5k+4k
2>k
Evaluate
20 / (6-2(10-8))
10
Factor the expression by identifying the
GCF.
3g^3h - 9g^2h + 12h
3h(g3 – 3g2 + 4)
Which of the following is a factor of
x^2 + 15x + 54?
A. (x + 6)
B. (x + 7)
C. (x + 2)
D. (x + 3)
Solve the system.
2x – 3y = 4
-4x + 5y = -8
Solution: (2, 0)
-138> -6(6b-7)
5<b
Simplify
−2x + 11 + 6x
11+4x
Factor the difference of squares.
4x2 – 9y6
(2x + 3y^3)(2x – 3y^3)
Factor the expression
x^2 + 5x + 6.
(x+3) (x+2)
Solve the system
{x –(1/2)y = 1
2x + 3y = 10
solution (2,2)
Solstice needs $229 to buy a new laptop.
Her job pays $13 an hour, and she has $60 saved
already. What is the minimum number of hours
Solstice must work to purchase the laptop?
She has to work at least 13 hours
Simplify
−9(6m − 3) +6(1 + 4m)
-30m+33
Factor each binomial completely.
a) 16h^2 – 36k^2
(4h + 6k)(4h – 6k)
solve the quadratic
n^2 + 7n + 15 = 5
{-5,-2}
Your Geometry test has 29 questions. Each
question is either worth 2 points or 5 points, and
all together the test is out of 100 points. How
many 2-point questions are there?
x=15 y=14
The Clinton High School art club sells
candles for a fundraiser. The first week of the
fundraiser, the club sells 7 cases of candles. Each
case contains 40 candles. The goal is to sell at
least 13 cases. During the second week of the
fundraiser, the club meets its goal. Write, solve,
an inequality that can be used to find
the possible number of candles sold the second
week.
n ≥ 240
The art club sells at least 240 candles.
Solve inequality
3< p/2<0
-6<p<0
Factor the expression (a – 3b)^2 – 225.
(a – 3b + 15)(a – 3b – 15)
Solve the binomial
(2m + 3)(4m + 3) = 0
{-3/2, 3/4}