Write Equations & Inequalities
Solve for a Specified Variable
Solve Linear Equations & Inequalities
100
Teo has x wooden beads at $0.50 each and 6 glass beads at $1.25 each. The average cost of the beads is $0.75. Which equation models the situation?
A) 0.50x + 1.25 = 0.75x
B) 0.50x + 7.50 = 0.75(x+6)
C) 6 + 0.50x = 7.50x
D) 0.50x + 3 = 0.75(x+6)
B) 0.50x + 7.50 = 0.75(x+6)
100
A simple interest equation is shown.
A=P(1+rt) where:
P is the starting amount of money
r is the annual interest rate
t is the time in years
Create an equation that solves for t.
t=A-P/Pr
100
What is the value of 2x in this equation?
5x - 2(2x-1)=2(3x-4)
A) 6
B) 4
C) 1.2
D) -20
B) 4
200
Three baskets contain three consecutive odd numbers of apples. There are 105 apples in total. How many apples are in each basket?
Write the numbers from least to greatest.
33, 35, 37
200
An equation is shown.
y=mx+b
Solve for m.
m=y-b/x
200
Jamie is buying 5 concert tickets, and wants to spend no more than $4 above or below $80. Which inequality models the cost x, in dollars, Jamie is willing to pay per ticket?
A. |5x+4|≤ 80 C. |80-5x|≤ 4
B. |5x-4|≤ 80 D. |80+5x|≤4
C. |80-5x|≤ 4
300
Jacinta buys 4 pounds of turkey and 2 pounds of ham. She pays a total of $30, and the turkey costs $1.50 less per pound than the ham. What would be the combined cost of 1 pound of turkey and 1 pound of ham?
A) $7.50
B) $9.50
C) $10.50
D) $15.00
C) $10.50
300
An equation is shown.
A=l· w
Solve the equation for w.
w=A/l
300
Solve the inequality.
4(x+3) - 7 ≥ x + 3(x+1)
A. x<5 C. no solution
B. x>3 D. all real numbers
D. all real numbers
400
Rachel is going to the county fair. The entrance fee is $12.50, and each ride costs $1.29. Rachel wants to spend at most $35.
a. Create an inequality to determine r, the number of rides Rachel could go on.
b. How many rides could Rachel go on?
a. 12.50+1.29r≤35
b. 17 rides [r≤17.44]
400
y=ax-b gives the height y of an angled ladder, x feet from its base. Find a formula for x in terms of y.
A) x=y/a+b C) x=y+b/a
B) x=a+b/y D) x=y+b/a
D) x=y+b/a
400
Which explains Step 2 as it relates to the previous step in the solution below?
A) The Distributive Property of Equality
B) The Addition and Subtraction Property of Equality
C) The Division Property of Equality
D) The Substitution Property
B) The Addition and Subtraction Property of Equality
500
Cara incorrectly solves the equation
3(2x-4)+2=1/3(9x+3).
Circle the first line in which Cara makes an error.
3(2x-4)+2=1/3(9x+3)
6x-4+2=3x+1
6x-2=3x+1
3x-2=1
3x=3
x=1
Create a correct equation to replace the incorrect equation identified above.
error: 6x-4+2=3x+1
correction: 6x-12+2=3x+1
500
An inequality is shown.
18x - 8 > 4x + 8
Solve for x.
x>8/7 or x>1.14
600
Graph the solution of the inequality on the number line.
x - (5 - 3x) ≤ 2x -1
x≥2