Download Concepts on the Algebra I Placement Test

Concepts on the Algebra I Placement Test
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Add, subtract, multiply and divide real numbers
Simplify using order of operations
Use variables in algebraic expressions
Add and subtract polynomials
Distributive property
Solve simple and multi-step equations including problems with variables on both sides
x 5 n6 n9
Solve proportions
 ,

24 6
4
2
Simplify quotients of monomials
3
Exponent Rules
 5x  ,  x32 
4 x 2 y 15 z 3
Multiply algebraic fractions
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5 z 2 8 xy
3x 4 y3 6 xy5
Divide algebraic fractions

2x
4 xyz
Multiply polynomials
FOIL
Solve problems involving percentages: 24% of 200 is what number? , 18 is 15% of what
number?
Factoring
o difference of two squares: x2  9, 9 x 2  25
3 2
o perfect square trinomial: x 2  6 x  9, 4x 2  20 x  25
o quadratic trinomial, quadratic coefficient of one: x2  8x  15, x 2  5x  24
o quadratic trinomial, quadratic coefficient greater than one:
2 x 2  7 x  9, 7x 2  9 x  2
o polynomial by grouping: 2ab  6ac  3b  9c
o polynomial completely: 6m2  18mn  12n2 , x 4  x3  2 x 2
Graph ordered pairs
Graph linear equations in two variables and vertical and horizontal linear equations
Graph inequalities in one variable
y  y1
Find the slope of a line 2
x2  x1
Use the slope intercept form of a linear equation y  mx  b
Find x and y-intercepts
Translate word sentences into expressions and equations
Word Problems including: cost, income and value problems, rate, time, distance
problems, and age problems