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16 questions
Equations with variables on both sides are best solving using....
Inverse Operations
Division
Multiplication
Parenthesis
Looking at the equation x + 5 = 3x -1 tells me that I can perform which step first...
Subtract 5 from both sides of the equals sign
Add x to both sides of the equals sign
Add 3x to both sides of the equals sign
Subtract 1 from both sides of the equals sign
Solve the equation.
3x - 2 = x + 10
Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.
1 hour
2 hours
3 hours
4 hours
Which equation is represented by the algebra tiles in the picture shown?
-4x + 7 = 2x - 5
7 + 4x = 2x + 5
4x + 7 = -2x + 5
-4x - 7 = 2x + 5
When solving an equation with a fraction, how do you get rid of said fraction?
Multiply both sides of the equation by the least common denominator.
Leave the fraction and move on.
Multiply both sides of the equation by the numerator.
Divide both sides of the equation by its reciprocal.
Solve the following equation for p.
−0.75p − 4 = 0.25p
p = -4
p = 4
121g=143 Solve the following equation for g.
g = 67
g = 718
g = 54
g = 821
Sandy is upgrading her Internet service. Fast Internet charges $60 for installation and $50.45 per month. Quick Internet has free installation but charges $57.95 per month.
The equation that represents this scenario is 60 + 50.45x = 57.95x
True.
False.
Model what the distributive property of multiplication looks like to you?
Distribute and simplify the following expression.
-3(2 - 4w) + (-11w)
-6 + 12w + 11w
w - 6
-6 + -w
-6 + 12w - 11w
Choose all of the following options that are possible first steps when solving
2(10 + 12x) = 3 + 9x
Subtract 3 from both sides of the equation
Distribute the 2 inside the parentheses to 12x
Subtract 9x from the right side only
Distribute the 2 inside the parentheses to 10
Divide by 2 on both sides
Simplify the following.
- (4 - x)
-4 - x
-4 + x
4 - x
4 + x
Simplify and tell whether the equation has one, zero or infinite solutions.
2(3x - 6) = -12 + 6x
x = 4; One Solution
x = -x; No Solution
0 = 0; Infinite Solutions
x = 0; One Solution
Fill in the blank with the proper answer choice that will result in the equation having no solution.
8x (a) = 8x - 6
Select the answer choice that represents infinite solutions.
x = x
x = 4
x = y
x= -x
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