Write and Solve Equations
Tell which value of the variable is the solution of the equation.
30=5a; a=3, 6, 7, 8
Which of the following is the solution of the equation?
What is a = 6?
x is at least 98
What is x ≥ 98?
Complete the rest of the table using the equation y = x/8.
x = 16, 24, 56, 72
y = 2, ?, ?, ?
What is 3, 7, and 9?
Find the solution for the inequality f + 42 > 71.
What is f > 29?
Identify the independent variable in this relationship. A garden hose runs for m minutes and produces g gallons of water.
What is m the independent variable and g the dependent variable?
x - 20 = 23
What is x=43
x is at most 58
What is x ≤ 58?
Suppose you open a bank account and deposit $35. Then, every month you deposit $15. Write an equation that relates the total number of dollars deposited, T, and the month, m.
What is T = 35 + 15m?
Create a graph for the inequality v ≤ 17.
Check with your teacher for the correct graph.
Nick wrote that 4 + 4 = 8. Then he wrote that 4 + 4 – k = 8 – k. This property keeps the equation balanced.
What is the Subtraction Property of Equality (POE)?
6g = 72
What is g = 12?
Which of these situations can you represent with the inequality x ≥ 41? Choose all that apply.
A. You must be no more than 41 inches tall to go on this ride.
B. A loaf of bread must be baked for at least 41 minutes.
C. You have no more than 41 minutes left on a parking meter.
D. The bill at a restaurant was at least $ 41.
What is B and D?
Early last summer, Jasmine planted a flower. Let y be the flower's height (in centimeters) x days after she planted it. Use the table to relate the independent variable x to the dependent variable y. Write an equation to represent the growth of the plant. Use the equation to find the flower's height after 8 days.
x = 2, 3, 5, 6
y = 14, 15, 17, 18
What is y = x + 12 and 20 centimeters?
Solve the inequality 9r ≤ 126.
What is r ≤ 14?
When Lucia rides her bike from her house to school at a rate of r miles per hour, the trip takes her m minutes. Identify the independent and dependent variables.
What is r the independent variable and m the dependent variable?
x/3 = 5
What is x = 15
Maria has a $500 budget for the school party. She paid $150 for the decorations. Food will cost $5.50 per student. Write the inequality which represents the number of students, s, that can attend the party.
What is 5.5s ≤ 350?
Create an equation and a graph of the table below.
x = 3, 4, 5, 6
y = 5, 6, 7, 8
What is y = x + 2? Check with teacher on graph.
Solve and graph the inequality z/22 > 8.
What is z > 176? Check with your teacher for the correct graph.
The answer to a variable from an equation is often referred to as ______.
What is solution?
What is the value of x in the equation x − 1/2 = 3 1/6?
What is x = 3 2/3?
Which of the equations can be used to describe the pattern in the table.
x = 5, 6, 7, 8, 9
y = 20, 24, 28, 32, 36
a. 4x = y
b. x ÷ y = 0.25
c. x + y = 25
d. y – x = 15
e. y ÷ x = 4
What is A, B, and E?
Solve the inequality 7t < 91.
What is t < 13?
A mathematical sentence that uses >, <, ≥, ≤, =, ≠ to compare two quantities.
What is an inequality?