Solving Equations
Solving Inequalities
Absolute Value
Word Problems
Units 1 & 2 Review
100
Solve for n:
8n+7=31
n=3
100
Solve the following inequality:
4x+1-1>=-8
x>=-2
100
Solve the following equation:
abs(-6x)=30
x=5
and
x=-5
100
In South Carolina, a cashier makes the federal minimum wage, $7.25 an hour. Write an equation that can be used to find the money, m, the cashier earns for h hours of work.
m=7.25h
100
The graph below shows a relationship between x and y. Write the x intercepts of the graph in as coordinates.
(-1,0)
(0,0)
(2,0)
(4,0)
200
Solve the following equation:
-10=10(k-9)
k=8
200
Solve the following inequality:
2p-4p<=-2
p>=1
200
abs(4n+32)=56
n=6
and
n=-22
200
The delivery charge for a local pizza place on Uber Eats is $2.99. A small pizza there costs $6.99. Write an equation that can be used to find the total cost, c, of ordering p small pizzas from the pizza place.
c=2.99+6.99p
200
Evaluate:
f(x)=-7x+10
when
x=2
f(2)=-4
300
Solve the following equation:
-3(4r-8)=-36
r=5
300
Solve the following inequality:
-2(b+1)+4<10
b> -4
300
Solve the following inequality:
abs(m-2)<8
m<10
and
m> -6
300
A card trick magician wants to make at least $1500 at one of his shows. He knows he will earn at least $250 selling his custom made trick card sets. If the magician sells tickets to his show for $10, write an equation that can be used to find t, the minimum number of tickets he must sell to earn $1500. Then, solve for t.
*Answer must include equation AND solution*
1500=10t+250
and
t = 125
300
The heights, in inches, of plants in a greenhouse are listed below. If the plant that is 14 inches tall grows an additional 2 inches, how will the mean and median heights be affected?
Heights in inches:
6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 14
The mean height will increase, the median height will stay the same.
400
Solve the following equation:
-3(1+6r)=14-r
r=-1
400
Solve the following inequality:
-50<7k+6<-8
-8<k<-2
400
Solve the inequality:
abs(x-2)-5<-2
x> -1
and
x<5
400
Rachel, a political consultant, earns a flat rate of $50 for every campaign event she hosts, plus an additional $5 per person she gets contact information from. The money she earns for a campaign event is represented by the equation
m=50+5p
where m represents the money she earns, and p is the number of people she gets contact information from. Rewrite the equation to better calculate p, the number of people she gets contact information from.
p=(m-50)/5
400
The following table shows the responses in a recent survey about candy preferences. Each respondent was asked what their favorite type of candy.
A female respondent is selected at random. What is the probability that she prefers sour candy?
20%
500
Solve the following equation:
-16+5n=-7(-6+8n)+3
n=1
500
Solve the following inequality:
-33<=-7n-12<-26
2<n<=3
500
Solve the following inequality:
abs(-3r+6)+7<=18
r>=-4
and
r<=8
500
A basketball team needs to earn at least $1000 at their bake sale to pay for new uniforms and a bus to an important tournament. They have spent $165 on ingredients to make cookies and brownies for the sale. They plan to sell the baked goods for $2 a piece.
Write an INEQUALITY that can be used to find b, the number of baked goods they can sell and still meet their earnings goal. Then, solve your inequality.
2b-165>=1000
and
b>=583
500
The following table shows the heights of three different plants over a six week period. Which plant(s) show LINEAR growth?
Plant #1 and Plant #3