Pre-Algebra Skills
Combine the like terms:
17xy + 3x - 4x2 + 10x - 8xy
-4x2 + 9xy +13x
*Use Ms. P's drawing
Is this a function? __________
What is the domain? ___________
What is the range? _____________
Ms. P's answers
Write the equation for the following tile pattern:
A tile pattern has 6 tiles in figure 0 and increased by 2 tiles each time.
Expand or use patterns to simplify:
x10 * x9
x19
Solve the systems of equations using substitution, elimination, or equal values:
x = y + 2
x = 4y + 23
(-5, -7)
Use algebra to solve the equation:
-22 = 5x - 2
x = -4
*Use Ms. P's drawing
Is this a function? __________
What is the domain? ___________
What is the range? _____________
*Use Ms. P's answers
Use words to describe how to graph this equation:
y = 3x - 7
Start at -7 and go up 3 over 1
Expand or use patterns to simplify:
(x3)5
x15
Solve the systems of equations using substitution, elimination, or equal values:
y + 3x = -23
x = 8y - 16
(-8, 1)
Use algebra to solve the equation below:
2x - 5x + 6 = 36
x = -10
Evaluate the function below:
x = -3
6x2 + 3x - 4
41
Use words to describe how to graph the following equation:
y = -6/7x + 99
Start at 99 and go down 6 over 7
Use a generic rectangle to multiply:
(3x + 2)(4x - 6)
12x2 - 10x - 12
Solve the systems of equations using substitution, elimination, or equal values:
4x + 8y = 20
-4x + 2y = -30
(7, -1)
Use Algebra to solve the equation below:
4x - 7 = 10x + 5
x = -2
Find the output for the following function:
x = 4
f(x) = x2 + 10
f(x) = _____
f(x) = 26
Use algebra to write an equation of a line with a slope of -3 and goes through the point (-9, 5)
y = -3x - 22
Solve the equation using the distributive property or generic rectangles:
(4x + 2)(x + 3) = 2x(2x + 10)
x = 1
Write equations for the following systems of equations word problem:
You are running the concession stand at the basketball game. You sell hot dogs and sodas. Each hot dog costs $1.50 and each soda costs $0.50. At the end of the night you made $78.50. You sold a total of 87 items during the game. How many hot dogs did you sell? How many sodas?
Let x = # of hot dogs
Let y = # of sodas
1.5x + 0.50y = $78.50
x + y = 87
Evaluate WITHOUT using a calculator:
10 + 7(42 - 9) / 7
17
Find the input for the function below:
x = _____
f(x) = x3 - 3
f(x) = 5
x = 2
Use algebra to write an equation of a line that goes through the points (-2, 10) and (1, 22)
y = 4x + 18
Expand or use patterns to simplify:
(x3y4)-3
1/x9y12
Write let statements, two equations, and solve the system of equations word problem below:
Amazing Amusement Park charges $1.00 for game and $2.00 for rides to earn $5,000.00 an hour. If people play 200 more games than rides, how many of each are expected?
x = # of games
y = # of rides
x + 2y = 5,000
x = y + 200
(1800, 1600) 1800 games and 1600 rides