Download station one - Lisle CUSD 202

Algebra 1 Chapter 5 Review
GRAPHING
1)
y=4
2)
x = -2
3)
y = 3x + 4
4)
2x – 5y = 10
Name ________________________
5)
Draw a graph that has positive correlation.
6)
Draw a graph with no correlation.
WRITING EQUATIONS
1)
Write an equation of a line whose slope is – ½ and whose y-intercept is –6.
2)
Write an equation of a vertical line that passes through the point (-7,9).
3)
Write an equation of a line that passes through the point (-1,-3) and has a slope of 4.
4)
Write an equation of a line that passes through the points (-3,5) and (2,-5).
5)
Write the equation of the line that is graphed below.
6)
Write an equation in Point-Slope form using (5, 2) and m = -2.
7)
Write an equation in Standard form using (-5, -2) and (-1, -14).
8)
1
Write the slope-intercept form of the equation of a line through (2, 2) that is parallel to y   x  5 .
2
9)
Write the slope-intercept form of the equation of a line through (-1, 2) that is perpendicular to
1
y   x  4.
2
EQUATIONS AND FORMULAS
1)
What is slope-intercept form? Write the equation and an example.
2)
What is the formula to find slope between two points? Write the equation and an example.
3)
How do you know if two lines are parallel? Perpendicular?
4)
What are the steps to finding the line of best fit?
5)
How do you find x and y intercepts without looking at a graph?
WORD PROBLEMS
1) A revenue of $1800 is obtained from the sales of item A at $30 each and item B at $90 each. Write an
equation that shows the relationship between the numbers of items sold.
2) A real estate sales agent receives a salary of $275 per week plus a commission of 1.5% of sales. Write
a linear model for the weekly income of y in terms of sales x.
3) Elva Duran works as a sales representative for Quasar Electronics. She receives a salary of $1800 per
month plus a 6% commission on monthly sales. Write a linear model for the monthly income of y in
terms of sales x.
4) Use the equation in #3 to find Elva’s monthly pay if she sells $1500.
5) Use the equation in #3 to determine how much she would have to sell in order to earn $6000 a month.
REWRITING EQAUTIONS
1)
Write in slope-intercept form 8x + 9y = 12.
2)
Write in slope-intercept form – ½ x – 5y = 6.
3)
What is the equation of a vertical line that passes through (4, -5)?
4)
What is the equation of a horizontal line that passes through (-7,8)?
5)
Rewrite 5x – 3y – 9 = 0 in function form.
6)
Rewrite 2y = -4x + 7 in standard form.
INTERCEPTS
1)
Find the x and y intercepts of 2x + y = 8. x-int = _________ y-int = ________
2)
Find the x and y intercepts of y = 3x – 4. x-int = _________ y-int = ________
3)
Graph the equation –3x + 2y = 12 using x and y intercepts. x-int = _________ y-int = ________
SLOPES
1)
Find the slope of the line passing through the ordered pairs (6, 4) and (10, 20).
2)
Find the slope of the line passing through the ordered pairs (8, -9) and (8, 12).
3)
Find the slope of the line passing through the ordered pairs (-2, 6) and (5, 7).
4)
The slope of a horizontal line is ____________.
5)
Write the slope of a line that is parallel to 12x – 3y = 6.
6)
Write the slope of a line that is perpendicular to 8x – 4y = 4.