Expressions
Equations 1
Equations 2
Systems 1
Systems 2
100
Combine like terms: 4x+2+3x
7x+2
100
Solve for t: 6t=18
t=3
100
Solve for p: 3p-2=2p+6
p=8
100
Would you solve using elimination, multiplicative elimination, or substitution? 4x+y=10; 2x+y=12
Elimination
100
Solve for y: x+5y=13; x+4y=7
y=6
200
Write as an algebraic expression: six times a number minus 4
6x-4
200
Solve for t: -2+t=7
t=9
200
Solve for c: (c+8)/2 = c+1
6
200
Would you use elimination, multiplicative elimination, or substitution? 3x+4y-8=0; 4x-5y+7=0
Multiplicative elimination
200
Solve for x: 2x+3y-10=0; 3x+3y=7
x=-3
300
Distribute: -3(x+5)
-3x-15
300
This number tripled and increased by 1 is 10.
3
300
Find the number. A number times 2, then increased by 6 is four times the sum of the number and 2
-1
300
Would you use elimination, multiplicative elimination, or substitution? y=2x+1; 3x+2y=0
Substitution
300
Solve for x: 2x+y=9; 3x-2y=3
x=3
400
Distribute and combine like terms: 3(2x+y)-2(3x-y)
5y
400
Solve for a: -3a-2=7
a=-3
400
Solve for y: 3(y+1)-(y+5)=2(2y)
-1
400
Set up a system of equations to solve: 9 coins, a mix of dimes and quarters, have a combined value of $1.95. How many dimes are there?
d+q=9; 5d+25q=195
400
Solve for y: y=3x+1 y=6x+10
y=-8
500
Rewrite as an algebraic expression, distribute, and combine like terms: 1 less than twice the sum of three z and 5
2(3z+5)-1=6z+10-1=6z+9
500
Solve for n: n plus one half of n minus 2 is equal to 5.
n=4
500
John starts eating chips at a rate of 7 per minute. Two minutes later, Rochelle joins him, eating a rate of 10 chips per minutes. How many minutes after John starts eating is the entire bag of 184 chips gone?
12 minutes
500
Set up a system of equations to solve: An apple weighs 1 pound, and an orange weighs 2. A barrel of 25 pieces of fruit, apples and oranges, weighs 32 pounds. How many oranges are in the barrel?
a=# of apples, b=# of oranges: a+b=25; a+2b=32
500
Find the number: I am a two digit number, closer to 0 than 100. My digits add up to 10 and have a difference of 2.
46
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