Equations I
x/2 - 3 = 2
10
-3y + 12 = 42
y=-10
True or False:
A linear equation has ONE solution when both sides of the equation are equivalent.
False
The length of a garden box is 6 feet longer than 4 times the width. If the length of the garden box is 22 feet, what is the width of the garden box?
4 feet
Solve for the square root of 49.
+- 7
y/5 - 2 = -7
-25
6m + 6 = 2m + 30
m=6
True or False:
A linear equation has NO solutions when the variable equals zero.
False
The volume of a cube is 125 cubic inches. What is the length of one side of the cube?
5 inches
What two integers does the square root of 21 fall between?
4 and 5
83 = 3 + 8x
10
10d + 10 = 5d + 45
d=5
x + 12 + 2x = 20 + 3x - 8
Infinitely many solutions
A courier service charges a flat rate of $12.50 per trip plus $0.60 per mile. They charged Films & More $23.30 to deliver a package. How many miles did the courier service have to travel?
18 miles
x2 - 7 = 65
+-6 times the square root of 2
72 + x = 62
-10
9.9 = y + 4.8
y=5.1
3(𝑥 + 1) = 3𝑥 + 4
No solution
Michelle had $500 in her savings account at the beginning of the summer. Each week she took $30 out of her account. Skyler had $122 in his account at the beginning of the summer. Each week he added $24 to his account. In which week will Michelle and Skyler have the same amount of money in their accounts?
7 weeks
5x2 = 125
+-5
The sum of w and fourteen is five. What is the value of w?
-9
20 = -8(x+2) - 4
x=-5
3(x + 5) = 3x + 5
No solutions
Peter stated that there is no solution to the equation 3(x+5) = 3x + 5. Do you agree or disagree? Explain your reasoning.
Agree.
-31 = 4x3 + 1
-2