Writing Equations
Sylvie needs $110.75 for a concert ticket. She already has $16 and earns the rest by working 10.5 hours. Write an equation that can be solved to find hhh, Sylvie’s hourly earnings
110.75=16+10.5h
A family drives 350 miles per day. Write an inequality for at least 1,400 miles in d days.
350d ≥ 1400
Solve: 350d ≥ 1400
d ≥ 4
Xander needs at least 120 cans and has already collected 64. Write an inequality for the number of cans c he still needs.
c + 64 ≥ 120
Solve: 4(6x − 9.5) = 46
A) x = −1.5
B) x = 0.3
C) x = 1.79
D) x = 3.5
C
Write an equation for the situation: A total cost of $53.75 includes a $7 delivery fee and $4.25 per item.
53.75 = 7 + 4.25x
Natalie has $146 for yoga training. A mat costs $10.65 and each class costs $9. Write an inequality for the number of classes, c.
10.65 + 9c ≤ 146
10.65 + 9c ≤ 146
c ≤ 15
Solve the inequality from the previous problem.
c ≥ 56
53.75 = 7 + 4.25x
A) 5.65
B) 11
C) 14.29
D) 42.5
C
A gym charges a $20 sign-up fee plus $15 per month. Write an equation for m months.
C = 20 + 15m
Write an inequality to earn at least $200 if you make $15 per hour.
15h ≥ 200
x − 7 ≥ 13
x ≥ 20
Joseph runs 2 1/2 miles on Monday and 1 1/3 miles each day after. Write an inequality to show running at least 6 miles.
2 1/2 + 1 1/3d ≥ 6
Mindy has $10.75. Glue costs $3.96. Pens cost $1.39 each. She buys 3 pens. What is the most she can spend on a notebook?
$2.62
Eight more than three times a number is 29. Write an equation.
3x + 8 = 29
Movie tickets cost $12 each. Write an inequality to show how many tickets t you can buy with at most $60.
12t ≤ 60
x ÷ 5 < 9
x < 45
Solve the inequality from the previous problem.
d ≥ 3
Which inequality represents running at least 6 miles? A) 2 1/2 + 1 1/3x < 6
B) 2 1/2 + 1 1/3x ≤ 6
C) 2 1/2 + 1 1/3x > 6
D) 2 1/2 + 1 1/3x ≥ 6
D
A phone plan costs $45 plus $0.10 per text. Write an equation that equals $62.50
45 + 0.10t = 62.50
Items cost $8 each. Write an inequality to show spending no more than $75.
8x ≤ 75
−4x > 28
x < −7
Explain what the solution means in the context of the problem.
Joseph must run at least 3 days after Monday
Graph the solution to c ≥ 56. Is the circle open or closed?
Closed circle at 56, shaded to the right