Download intrmediate algebra review 1

INTRMEDIATE ALGEBRA
REVIEW 1
L F Thomas - Instructor
Find the slope of the line through the pair of points.
13) (-3, -2) and (5, 3)
Find the equation in slope-intercept form of the line
satisfying the conditions.
7
61
1) m = - ; y-intercept 0,
8
8
2) Slope -
14) (-9, -6) and (-9, -8)
2
;b=4
7
Find the slope of the line and sketch the graph.
15) 3x + 4y = 22
Write the equation in slope-intercept form.
3) 3x + 6y = 5
Find the slope and the y-intercept of the line.
4) 4x + 5y = 27
Find an equation of the line that satisfies the conditions.
Write the equation in standard form.
3
5) Through (3, 3); m = 7
6) Through (6, 1); m = 0
16) y - 4 = 0
7) Through (6, -9); undefined slope
Find an equation of the line passing through the two
points. Write the equation in standard form.
8) (-4, 0) and (0, 3)
9) (-7, -1) and (2, -6)
Find an equation of the line satisfying the conditions.
Write the equation in slope-intercept form.
10) Through (-6, 5); parallel to -7x + 5y = 57
11) Through (-3, 8); perpendicular to -3x + 4y =
-23
Solve the problem.
12) It costs $37 per hour plus a flat fee of $22 for a
plumber to make a house call. What is an
equation of the form y = mx + b for this
situation?
1
Graph the line described.
24) 5 6x + 5 and 6x + 2 < 26
1
17) Through (0, 6); m =
2
Decide whether the relation is a function.
25) {(-1, 8), (2, -5), (6, -9), (9, -8), (11, 8)}
26) {(-8, 2), (-8, 8), (-1, 6), (4, 7), (7, 5)}
Decide whether the relation is a function, and give the
domain and range.
27)
18) Through (8, -6); m = 0
Determine whether the relation defines y as a function of
x. Give the domain.
28) y = 6x - 4
Decide whether the pair of lines is parallel, perpendicular,
or neither.
19) 3x - 8y = -7 and 32x + 12y = -7
29) 2x = 10 - 6y
Solve the problem.
20) 12x + 4y = 16 and 6x + 2y = 10
30) Find f(0) when f(x) = x2 - 2x - 4
21) The line through (-20, 5) and (-4, 7) and the
line through (-5, 5) and (7, 4)
31) Find f(1) when f(x) = 3x2 + 5x - 2
Find the slope.
22) m =
32) Find f(k) when f(x) = 3x2 + 4x + 5
5 - (-3)
-5 - (-4)
For the compound inequality, give the solution set in both
interval and graph forms.
23) 2x - 9 -3 and 2x - 9 5
2
Answer Key
Testname: REVIEW1
1) y = -
7
61
x+
8
8
2) y = -
2
x+4
7
3) y = -
1
5
x+
2
6
4) Slope -
16) Slope: 0
4
27
; y-intercept 0,
5
5
5)
6)
7)
8)
9)
3x + 7y = 30
y=1
x=6
3x - 4y = -12
-5x - 9y = 44
7
67
10) y = x +
5
5
11) y = -
17)
4
x+4
3
12) y = 37x + 22
5
13)
8
14) Undefined
3
15) Slope: 4
18)
19)
20)
21)
22)
23)
3
Perpendicular
Parallel
Neither
-8
[3, 7]
Answer Key
Testname: REVIEW1
24) [0, 4)
25) Function
26) Not a function
27) Not a function; domain: (- , -2] ; range: (- , )
2
28) Function; domain: ,
3
29) Function; domain: (- , )
30) -4
31) 6
32) 3k2 + 4k + 5
4