Name: ______Semester 1 / Algebra IIN CLASSREVIEW
Linear Functions
What is the slope of the line given by the equations below?
2x + 3y = 12slope = ______-3y + 2x = 8 slope = ______
-4x + 2y = 10Slope = ______6y – 3y = 9 Slope = ______
Below there are two graphs and four equations. Match each equation to one of the graphs given:
“rewrite” each equation in slope intercept form”
Graph the equation given on the graph:
Linear Inequalities:
Graph the following inequalities: (Be sure to shade the correct side of the line and make the line solid or dotted)
Write the inequality represented by the graphs given:
Rewrite the following inequality in slope intercept form and graph the inequality on the graph given
2x + 3y < 12
Name: ______
Circle all the points below that are solutions to the inequality shown in the graph
Given the equation which of the following would be solutions to this inequality?
What is the equation of a line that passes through the points below? (find slope using slope formula first)
Line A)Line B)
Points: (3, 8) & (2, 5) Points: (4, 2) & ( 6, 3)
equation: ______equation: ______
Line C )Line D)
Points: (1, 8) & (4, 2) Points: (-2, 3) & ( 5, 17)
equation: ______equation: ______
Which equation below passes through the points given? More than one could work
Points (2, -1) & (5, -7) Points (6, 5) & (12, 8)
What is the equation of a line that passes through the point with the given slope? More than one could work
Slope = 3 & point (2, 7) Slope = ½ & point (6, 8)
Name: ______
Which table represents the equation given?
Only one works
Simplify the following expressions: (combining like terms, distributive property)
3x + 2x + 8 + 5x + 6 2(x + 4) + 3(x – 5)
Solving Equations Review:
Solve the following equations to find the value of x:
3x + 2x – 5 = 20 7x – 3x + 8 = 16
3x + 19 = 9x + 7 5x + 13 = 9x + 1
Which table represents a function? More than one could work (circle all that are functions)
Function notation:
Given the function
What would = ? ______
What would = ______
Slope practice:
What is the rate of change shown in the table below?
Name: ______
Name: ______
Systems of equations:
Given the equations y = 2x + 7 and y = 3x + 2 at what point would these two lines cross? The lines are “equal” when they cross. Set the lines equal to each other and solve.
2x + 7 = 3x + 2 solve to find x. x = _____
Find the solution to the following equations the same as above:
The graph of 2x + 4y = 8 is shown
If was graphed, what would be the solution between the two lines?
Solution = (____, ____)
What would be the solution to the system given below? (solve by graphing)
When equations are set up on this form, solving by elimination can be another way to solve. (if y-intercepts are fractions this method will be needed)
Solve this previous problem now with elimination (hint, multiply the bottom equation by 2 first…..then…..)
Solve the following by using elimination
2x + 5y = 12
3x – 5y = 13
Which graph shows the solution to the system below?
Jack bought ‘x’ number of video games and ‘y’ number of movies. The total number of items bought was 7. Movies cost $1.25 and video games cost $2.25. He spent a total of $13.75. Find the number of movies that Jack bought.
Write a system and solve:
Sara went to Lowes and bought 4 light up candy canes for her yard and 5 wreaths for her doors at her house. She spent $61.50 total. Marry also went to Lowes and bought 6 light up candy canes and 3 wreaths for her house. Marry spent $49.50 total. Write a system of equations and solve to determine the cost of each candy cane and wreath.
Name: ______
Writing equations:
For the Holiday season, UPS has special shipping rates. Do send a package from Dallas to Waco it cost $3.75 plus $0.60 per mile. Which equation could be used to determine the total cost ‘T’ to ship a package ‘x’ number of miles?
- T = 3.75 + 0.60
- T = 3.75x + 0.60
- T = 3.75x + 0.60x
- T = 3.75 + 0.60x
Amazon claims to be able to offer TV service for $14 per month. An addition cost of $1.20 per episode is charged. Write an equation that could be used to find the total cost for one month to watch ‘x’ number of episodes
Determine the rate of change shown in the graphs below
Find the Constant rate of Change for the following graphs
Answer the following questions about the relationship between the lines shown: