Solving by Combining Like Terms
Solve for h
5h + 2 + 2h = 23
h = 3
Solve for x
2(x + 5) = 14
x = 2
x/4 + 3 = 7
x = 1
Solve for x.
4x + 9 = 33
x = 6
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
Julie's sister is 8 years old.
Choose the correct sentence: "The yolk of the egg is white" or "the yolk of the egg is white".
Neither. Egg yolks are yellow, not white.
Solve for b
3b + b - 8 = 4
b = 3
Solve for d
5(d - 2) = 40
d = 10
5(2m−3)=4m+7
m= 3 3/2
m = 11/3
Solve for x.
x + 3x = -8
x = -2
Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How much does each shirt cost?
Each t-shirt cost $12.99
You can find it in Mercury, Earth, Mars, Jupiter and Saturn, but not in Venus or Neptune. What is it?
The letter "R".
Solve for a
3a + 12 - 6a = -9
a = 7
Solve for t
7(4 - t) = -84
t = 16
Simplify
3 + 5(a + 4)
5a + 23
Solve for y.
4(y - 2) + y = -13
y = -1
Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were originally in each box?
There were 28 apples in each box.
There are three houses. One is red, one is blue and one is white. If the red house is to the left of the house in the middle, and the blue house is to the right of the house in the middle, where’s the white house?
In Washington, D.C.
Solve for y
-6 = -3y + 4 + 5y
y = -5
DOUBLE JEOPARDY
Solve for x
-2(x - 9) = -24
x = 21
Simplify
- (2b - 4)
-2b + 4
DOUBLE JEOPARDY
Solve for m.
-6(m + 1) + 18 = 24
m = -2
DOUBLE JEOPARDY
Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for ONE bag of raisins?
Each bag of raisins cost $1.87
There are 7 kids in the Garcia family, each born 2 years apart. If the eldest Garcia child is 19, how old is the youngest Garcia child?
7
Solve for c
78 = 3c + 12 - c + 4
c = 31
Solve for a
-13(4 + 2a) = 208
a = -10
DOUBLE JEOPARDY
Simplify
7(t + 8.5) - 5t + 4
2t + 63.5
Solve for k.
7k - 8 + 2(k + 12) = 52
k = 4
Alonzo works at an amusement park and earns $24 per hour. He is required to pay $12 per week for parking. If his paycheck is $384, how many hours did Alonzo work last week?
16 hours
You’re driving a city bus. At the first stop, three women get on. At the second stop, one woman gets off and a man gets on. At the third stop, two children get on. The bus is blue and it’s raining outside in December. What color is the bus driver’s hair?
Whatever color your hair is. Remember, you’re driving the bus!
DOUBLE JEOPARDY
Solve for y
9y+3y+y-6=7
y = 1
Solve v
8(v+2) = 40
v = 3
Simplify
4x + 2x
6x
x2 - 5x +6 = 0
x = 3
Lena ordered pizzas from a restaurant. There was a delivery fee of $8 for the entire purchase. The restaurant charges $16 PER PIZZA. Lena spent a total of $88 including delivery fee. How many pizzas did Lena purchase?
5 pizzas
What goes on four feet in the morning, two in the afternoon and three in the evening? (This is from the classic myth, Oedipus and the Riddle of the Sphinx)
A human. The times of day represent stages of human life. At the beginning of life, a baby crawls on four “feet.” As a person gets older, they walk on two feet. Later in life, a person will walk on three “feet” (two feet, plus a cane to help them walk).