Chapter 0-6

Question 1

Chapter 0- Integers

Answer 1

*Negative and Positive Numbers, not including fractions or decimals.

Question 2

Chapter 0- Fractions

Answer 2

• To subtract fractions make the denominator the same then subtract the numerator.
• To add fractions make the denominator the same then add the numerator.
• Simplify fractions at the end.

Question 3

Chapter 0- PEMDAS

Answer 3

• PEMDAS mean Parenthesis, Exponent, Multiply, Divide, Addition, and Subtraction.
• When working on an algebraic problem, work through it in that order.

Question 4

Chapter 0- Properties of Algebra

Answer 4

*Combine like terms, Simplify equation, and distribute any number in front of a parenthesis

Question 5

Chapter 1- 1-Step Equations

Answer 5

*Being able to solve an equation with one step.

Question 6

Chapter 1- 2-Step Equations

Answer 6

*Being able to solve an equation with two steps

Question 7

Chapter 1- General Linear Equations

Answer 7

*What you do to one side of the equation you have to do to the other.

Question 8

Chapter 1- Solving with Fractions

Answer 8

*When dealing with fractions you want to make sure that the denominator is the same on both fractions.

Question 9

Chapter 1- Formulas

Answer 9

*When solving formulas you want to make sure that the variable is by itself.

Question 10

Chapter 2- Points and Lines

Answer 10

*When trying to graph use the xy coordinates.

Question 11

Chapter 2- Slope-Intercept Form

Answer 11

*When trying to find slope-intercept form use y=mx+b

Question 12

Chapter 2- Point-Slope Form

Answer 12

*When trying to find point-slope form use y-y1=m(x-x1), if your given two points then solve for slope then do point-slope form

Question 13

Chapter 2- Parallel and Perpendicular Lines

Answer 13

• Parallel lines will have the same slope.

* Perpendicular lines will have opposite slope or the reciprocal.

Question 14

Chapter 3- Solve and Graph Inequalities

Answer 14

• Inequalities will use the greater than, and equal to sign.
• When solving for them you want to be wary of a bar underneath the signs. *This sign could change if a negative number is in front of the variable.

Question 15

Chapter 3- Compound Inequalities

Answer 15

*When dealing with an inequality with two signs, you have to break it into two equations.

Question 16

Chapter 3- Absolute Value Inequalities

Answer 16

• Absolute value is telling you how far from zero a number is.
• If there are variables on the same side as the inequality move them to the other side.
• When solving an inequality you make two equations and change the sign of the number on the second equation.

Question 17

Chapter 4- Systems Graphing

Answer 17

*To determine whether a line(s) is parallel or perpendicular, you can look at the equation or the slope.

Question 18

Chapter 4- Systems Substitution

Answer 18

*When given systems that shows one variable solved for plug it into the other equation to find the missing variables.

Question 19

Chapter 4- Systems Addition Elimination

Answer 19

*When given systems that you can get rid of one of the variable then do that and solve for the remaining variable and plug it back into either system to find the other variable.

Question 20

Chapter 5- Exponent Properties

Answer 20

• When you have variables that have the same base number, have exponents, and multiplying it then you add the exponents together. If you have the same thing but its dividing then you subtract the exponents.
• When you have a zero for an exponent then the answer is one.

Question 21

Chapter 5- Negative Exponents

Answer 21

*When dealing with an exponent that’s negative you have to make it positive by doing its reciprocal.

Question 22

Chapter 5- Scientific Notation

Answer 22

• When dealing with scientific notation, you always want to make sure that there is always one number in front of the decimal.
• Make sure to put x10^exponent number as this will tell you if its a large number or small number.

Question 23

Chapter 5- Introduction to Polynomials

Answer 23

*When given two polynomials depending on the sign in the middle you either got to multiply, divide, add, or subtract them.

Question 24

Chapter 5- Multiplying Polynomials

Answer 24

*Use FOIL method when multiplying binomials. FOIL standing for: First of the binomials, Outside being the numbers on the outer edge of the problem, Inside being the numbers in the middle,and Last being the last number of the binomial.

Question 25

Chapter 5- Dividing Polynomial

Answer 25

*Use long division for monomials, binomials, and polynomials

Question 26

Chapter 6- Greatest Common Factor

Answer 26

*The largest term that can be divide out of all the numbers, on equations with exponents use the smallest one and then divide it.

Question 27

Chapter 6- Grouping

Answer 27

*Make two equations then getting the GCF.

Question 28

Chapter 6- Trinomials where A equal 1

Answer 28

*When dealing with a trinomial try to factor out a binomial, when you have a trinomial with a number that isn’t one then you factor out the GCF.

Question 29

Chapter 6- Trinomials where A does not equal 1

Answer 29

*When trinomial doesn’t equal one you make it into a binomial.

Question 30

Chapter 6- Factoring Special Products

Answer 30

• When dealing with a binomial that has the power of four then you use the difference of perfect squares twice.
• When dealing with a perfect square in a trinomial use the ac method.
• If the numbers match then factor to (a+b)^2, always factor the GCF

Question 31

Chapter 6- Solve by factoring

Answer 31

• Zero product is when you solve each factor by making it equal to zero.
• If you have x^2 and x in an equation you need to factor before we can solve.