ALGEBRA 1 – UNIT 4 – TEST A
ALGEBRA 1 – UNIT 4 – REVIEW
Write an equation of the line in slope-intercept form.
1) The slope is –3; the y-intercept is 5. ______________
2) The slope is 2; the y-intercept is 0. ______________
Write an equation of the line shown in the graph. Write the equation in slope-intercept and point-slope form.
3) 4)
slope-intercept form: __________ slope-intercept form: ___________
point-slope form: _____________ point-slope form: ______________
5) You borrowed $70 from your brother. To repay the loan, you pay him $7 per week.
a) Write an equation to model the amount of the loan remaining, Y, in terms of
X, the number of weeks that have passed.
___________
b) Find the amount of the loan remaining, if 3 weeks have passed.
_________
Write an equation in slope-intercept form of the line that passes through the points.
6) (-4, 2), (1, -1) 7) (5, -3), (-1, 9)
m = _____ b = ____ m = _____ b = _____
slope-intercept form: ___________ slope-intercept form: ___________
8) Write an equation of the line that is parallel to y = 2x + 3 and passes through (-4, 1). Write the equation in slope-intercept or point-slope form.
___________
Write an equation in point-slope form of the line that contains the given information.
9) (-3, 5), m = [pic] 10) (3, 4), (-6, 7)
m = _____
pt.-slope form: ____________ pt.-slope form: ____________
Write an equation of the line in standard form with integer coefficients.
11) 5x – y + 6 = 0 12) y + 1 = 2(x - 3)
_______________ _________________
Tell whether it is reasonable for the graph to be represented by a linear model.
13) 14)
______ _______
In questions 15-17, use the following information. The table shows the yearly profits for a company. Let x represent the time in years after 1990. Let y represent the profit in thousands of dollars.
Year |1991 |1992 |1993 |1994 |1995 |1996 |1997 |1998 | |Profit |240,000 |250,000 |270,000 |260,000 |280,000 |310,000 |280,000 |300,000 | |
15) Make a scatter plot and fit a line to the data.
16) Write a linear model for
the amount of profit. (6 pt)
________________
17) Use the linear model to estimate the profit in 2002.
Profit ________
................
................
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