5.1 & 5.2
John needs $120 for new sneakers. He has already earned $36 from working at Best Buy. If he makes $12 an hour, h, select ALL equations that can solved to find how many more hours John must work.
A) 120 = 36 - 12h
B) 36 + h = 120
C) 12h = 120 - 36
D) 120 = 12h + 36
E) 12h + 120 = 36p
C) 12h = 120 - 36
D) 120 = 12h + 36
What is the first step in this equation 4(x+5)= 21?
A) Divide each side by 4
B) Subtract 5 from both sides
C) Distribute 4 into x
D) Distribute 4 into x and 5
D) Distribute 4 into x and 5
Solve the inequality
x - 4 > 24
x > 28
What happens to the inequality sign if a negative coefficient is divided or multiplied on both sides?
It flips
Solve and graph the inequality
12x-7 ≥ 17
x ≥ 2
Closed dot on 2. Arrow going to the right.
Write an equation for the following statement:
Fifteen more than six times a number is twenty.
15 + 6x = 20
Find the value of z in the equation
3(8z+9) = 363
z = 14
Draw a graph for this inequality
-4.5 ≥ x
Dot on 4.5. Closed circle. Arrow to the left.
Solve and graph the inequality
4x ≤ -36
x ≤ -9
Closed dot on -9. Arrow to the left
Solve and graph the inequality. Round to the nearest hundredth.
6(-3x+4) < 22
x > 0.11
Solve the equation
4n - 12= 40
n = 13
A family of 6 buys concert tickets for each member. Each ticket includes an additional $18 fee. If all the tickets together cost $592, what was the price of each ticket? Write and solve an equation.
6(t+18)= 592
Each ticket cost $80.67
Solve and graph the inequality
x - 5 ≤ -2
x ≤ 3
Closed dot on 3, arrow to the left
Fill in the blanks and graph the inequality
-6 ≥ x/-7
x __ __
x ≥ 42
Closed dot on 42. Arrow to the right
Nora ordered notebooks for school. Each notebook cost $4.25 and to have them all shipped was a one-time fee of $7. If the total cost of her order was $53.75, how many books did she order?
11 books
2,742 = 542+ 220d
d = 10
What error did your friend make solving this problem?
-16(4-y) = 80
-64 - 16y = 80
-16y = 144
y= -9
When distributing the -16 it should have been +16y not -16y.
The school has a goal to collect at least 120 coats for the local coat drive. They have already collected 64 coats. Write and solve an inequality to find the number of coats the school must still collect to reach its goal. Draw a number line to represent the situation.
c + 64 ≥ 120
c ≥ 56
A car can travel 350 miles on one tank of gas. How many tanks of gas, g, would it take to travel at least 1,400 miles?
Write and solve an inequality then graph the solution.
350g ≥ 1400
g ≥ 4
Closed dot on 4. Arrow to the right
The cafeteria can hold at most 126 students. Each table seats 4 girls and b number of boys. If there are 7 tables how many boys can be at each table? Write, solve, and graph an inequality for the situation.
7(4+b) ≤ 126
b ≤ 14
Closed dot on 14. Arrow to the left.
Jordan knows his garden the perimeter of his garden is 256ft. The length of the garden is one-fourth of a number plus 3 and the width is 18ft. Write and solve an equation to find the length of Jordan's garden.
1/4x + 3 + 1/4x + 3 + 18 + 18 = 256
The length of Jordan's garden is 109ft
Solve the following equation for m. Round to the nearest tenth.
6(m+7)- 3m = -4(0.5-9m)
m = 1.5
Todd, Cory, and Sarah are given the math problem 3x+12 > 9 and told to solve for x. Todd says x is 7, Cory says x can be 7, 8, 9, 10, and so on, and Sarah says x can be 8, 9, 10, and so on. Who is correct? Explain.
Sarah
In perfect conditions, the deepest a submarine can go is 3,950 ft at a rate of 659 ft per minute. How many minutes, at least, does it take for the submarine to reach 3,950ft?
Write and solve an inequality. Graph the solution.
-3,950 ≥ -659m
6 ≤ m
Closed dot on 6. Arrow to the right.
Solve and graph the inequality. Round to the nearest hundredth.
-3(9x-7) ≤ -2(-x+3) - 7x
x ≥ -0.68
Closed dot on -0.68. Arrow to the right.