Multi-Step Equations
Literal Equations
Multi-Step Inequalities
Word Problems
Mixed
100
3x+4-x+2=18
x=6
100
solve for x
y=mx+b
x={y-b}/x
100
4x - 7 + 2x \ge 17
x \ge 4
100
Maya bought a box containing $120 paperclips for her desk. After organizing a set of student folders, there were $45 paperclips left in the box.
Which equation can be used to find p, the number of paperclips Maya used?
120-p=45
100
We use this word to multiply to both sides to remove a fraction coefficient.
What is reciprocal
200
2(3x - 4) = 4x + 10
x=9
200
Solve for C
F = \frac{9}{5}C + 32
\mathbf{C = \frac{5}{9}(F - 32)}
200
What is the correct interval notation for the following inequality
-3(x-4) > 18
(-oo,-2)
-oo<x<-2
200
A local fitness center charges a one-time membership registration fee of $45 plus $30 per month. A competing gym charges a $15 registration fee plus $35 per month. Write and solve a linear equation to find the number of months, m, for which the total cost at both gyms will be exactly equal.
They will be equal at 6 months
45+30m=15+35m
200
What are 4 ways to represent
x ge 12
in words
x is at least 12
x is no less than 12
x is at minimum 12
x is no fewer than 12
300
5 - 3(2x - 1) = -6(x + 3) - 2
8=-20
No Solution
300
Solve for b1
A = \frac{1}{2}h(b_1 + b_2)
\mathbf{b_1 = \frac{2A}{h} - b_2}
300
What is the correct graph for the inequality
-2(x + 1) + 5 \le 9
A
300
An online retailer offers a monthly VIP pass. Non-members pay $14 per shipment. VIP members pay a flat fee of $36 per month plus a discounted rate of $5 per shipment.
Write and solve an inequality to find the minimum number of shipments per month, s, a customer must make so that the VIP pass is cheaper than paying non-member shipping rates.
To make the VIP Pass cheaper, they must make at least 5 shipments
36 + 5s < 14s
300
\frac{2}{3}x - \frac{1}{4} = \frac{1}{2}x + \frac{5}{6}
x=13/2
400
3/2={2m+7}/10
m=4
400
Solve for x
ax+c=bx+d
x={d-c}/{a-b}
400
Solve for x
\frac{2x - 1}{3} \le x + 2
x ge -7
400
A food truck driver earns a base pay of $120 per day plus $4.50 for every meal sold. The driver wants to earn at least $300 today, but must pay a flat daily permit fee of $15 out of their earnings. Write and solve an inequality to find the minimum number of meals, m, the driver needs to sell.
The driver must sell at least 44 meals
(120+4.50m)-15 ge 300
400
Write 4 solutions to the inequality
\frac{3}{4}x - \frac{1}{2}(x - 4) \le \frac{1}{3}x + 1
Any answer above 12
x ge 12
500
\frac{x + 5}{3} - \frac{x}{2} = 1
x=4
500
Solve for C
K=8/5(C-6)
C=5/8K+6
500
4(2/5D+3)-1/4le 7
D le-95/32
500
The length of a rectangular community garden plot in Richmond is 4 feet less than twice its width, w. The neighborhood association requires that the perimeter of the plot be no more than 88 feet.
Write and solve an inequality to find the range of possible values for the width, w.
P = 2(Length) + 2(Width)
88 le 2(2w - 4) + 2w
w le 16
500
\frac{1}{2}(4x - 6) + \frac{2}{3}x = \frac{8}{3}x - 3
-3=-3
All real solutions