Opposites & Reciprocals
1 & 2 step Equations & Inequalities
Simplifying Equations
Multi-step Equations
100
What is the opposite of -9
What is 9
100
Solve x - 8 = -20
What is x = -12
100
Find an equivalent equation for 2p + 4p = 36
What is 6p = 36
100
What property justifies that 2(3a - 7) = 18 and 6a - 14 = 18 are equivalent expressions?
What is the distributive property
200
What is the reciprocal of
What is -2
200
Solve -4w > 28
What is w < -7
200
Find an equivalent equation for 3(j - 5) = 75
What is 3j - 15 = 75 or 3j = 90
200
After simplifying both sides, which variable term should you choose to move to other side of the equation in: 8 - 20x = 3 + 9x
What is -20x (add 20x)
300
What is the multiplicative inverse of
What is
300
Solve 9m - 1 = 80
What is m = 9
300
Simplify the LHS of 5p - 2(7p + 1)= 14p to find an equivalent equation
What is -9p - 2 = 14p
300
Where is the mistake? n + 8(n + 20) = 110 1. n + 8n + 20 = 110 2. 9n + 20 = 110 3. 9n = 90 4. n = 10
What is #1
400
What number does not have a reciprocal and why?
What is 0 because you cannot multiply any number by 0 to get 1, or you cannot flip the fraction.
400
The cost of renting a boat is represented with c = 120 + 60n where c is the cost & n is the number of days. If the cost was $360, how many days was the boat rented for?
What is n = 4 days
400
Find the next equivalent expression for solving 4(2 - 5x) = 6 - 3(1 - 3x)
What is 8 - 20x = 6 - 3 + 9x
400
Where is the mistake? 3(x + 5) = 2x + 35 1. 3x + 15 = 2x + 35 2. 5x + 15 = 35 3. 5x = 20 4. x = 4
What is #2
500
When is this statement true: "The opposite of x is less than x"
What is "when x is positive"
500
Why do the solutions of inequalities have a graph that goes along with the solution?
What is "because there are many solutions"
500
Find an equivalent expression of the form ax = b for 4(2 - 5x) = 6 - 3(1 - 3x)
What is 8x = 5
500
The sides of a triangle are y cm, y + 1 cm, and 7 cm. If the perimeter is 56 cm, what is y?
What is y = 24 cm
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