Download Math 011 – Practice Test 2 Show all work. Simplify all answers

Math 011 – Practice Test 2
Show all work. Simplify all answers. Leave all answers exact (reduced fractions not rounded decimals
– unless otherwise indicated).
Solve each equation
1) y ! 5 = 8 ! 3y
2) 7 ! 3x = 4
3) 4(x ! 1) ! 2 = 3 ! (2x ! 3)
p
, where p is the total points earned on
t
all the tests, and t is the number of tests. Find a student’s average if they have taken 7 tests and earned
when 630 points.
4) The expression for figuring a student’s average test score is
5) Solve n = m ! x for m.
6) Solve d = rm + z for r.
7) Write an equation and solve: 20% of what is 50?
8) Write an equation and solve: 4 is what percent of 24?
9) Write an equation and solve: The sum of three consecutive odd integers is 69. What are the integers?
10) You pay a taxi driver $2.50 for picking you up plus $1.50 for each mile driven. On one trip, you
paid $20.50. How far did you ride?
11) Determine whether -4 is a solution of the inequality x < !2
12) Graph on a number line x ! 2
-5
-4
-3
-2
-1
0
1
2
3
4
5
13) Solve, then graph. 8x < !32
-5
-4
-3
-2
-1
0
1
2
14) Solve: 3y ! 5 " 7 ! 5y
15) Translate to an inequality: A number no more than -7.
16) Translate to an inequality: A number is greater than or equal to 4
17) Plot (-2,3) on the coordinate axes.
3
4
5
18) In which quadrant is the point (3,-10) located?
19) Find the coordinates of the point shown on the graph:
20) Determine whether (-1,2) is a solution of x = 7y ! 9
21) Find the x and y intercepts, then graph 3y ! 4x = 12
22) Find the x and y intercepts, then graph
1
x!4 = y
2
23) Graph x = 4
24) Find the slope of the line through (-5,2) and (5,-5)
25) Find the slope of the line through (!1, !2) and (6, 4)
26) Find the slope of the line !4x + 2y = 20
6
27) Find the slope and y-intercept of the line y = x ! 2
5
28) Find the equation of a line through point (0,-6) with slope !4
29) Find the equation of a line through (1,-2) and (-3,5)
1
30) Draw a line that has a slope of and a y-intercept of (0, !3)
2