Math 1010 Section 5
William Malone
Test 1
Name:
Read all directions carefully and show all your work for full credit.
Good Luck!!!
1. (8pts)
2. (6pts)
3. (6pts)
4. (8pts)
5. (8pts)
6. (8pts)
7. (4pts)
8. (6pts)
9. (6pts)
10. (6pts)
11. (6pts)
12. (6pts)
13. (6pts)
14. (6pts)
15. (8pts)
16. (6pts)
Equations(18pts)
Total (122)
Percent
1. (8 points) Find all solutions to the equation | − 7x + 6| = 5x + 18 and check all
solutions.
2. (6 points) Solve the following equation for x.
2(x2 − 4x + 2) − 3x + 18 = 2x(x + 1) + 5x.
3. (6 points) Graph the function f (x) = −|x + 3| + 2 using shifts and reflections of
known graphs on the Rectangular Coordinate System. Write down the exact
sequence of transformations that you used.
4. (8 points total)
(a) (4 points) Show that the equation y 2 = x is not a function by finding 2
solutions to the equation where x = 1.
(b) (4 points) Show that the equation y 2 −2y+x−5 = y 2 +5x−10 is a function
by moving all terms to one side, combining like terms, and solving for y.
(Remember an equation is a function if y = stuf f .)
5. (8 points) Use the point plotting method (plot at least 5 solutions) to graph
the function f (x) = −|x2 − 1| on the Rectangular coordinate system.
6. (8 points) Find all solutions to the following system of equations using any
method you like.
−3x + 4y = −5
5x − 7y = 7
7. (4 points) Graph on the real number line all solutions to the inequality
4x − 5 < 13.
8. (6 points) Find g(−2) and g(1) if
2
x − 2x + 1 −10 < x < 0
g(x) =
5
− 4x + 2
1≤x≤5
x
9. (6 points) Find the equation of the line passing through (4, −11) with slope −6
and write your answer in General Form.
10. (6 points) Find the distance between the given points as well as the midpoint
on the line segment joining them.
(11, −6) and (8, −2)
11. (6 points) Use the order of operations to simplify the expression
10 × 4 − 4 × 5 ÷ 22 − 10 + 6 ÷ 3 × 2
12. (6 points) Graph on the real line all solutions to
|2x + 1| ≤ 5.
13. (6 points) Find the equation for a line passing through the point (10, −3) that is
perpendicular to the line 5y − 10x = 4. Write your answer in Slope-Intercept
form.
14. (6 points) Graph the domain of the function f (x) =
number line.
2
x−3
+
√
3x − 1 on the real
15. (8 points) Graph all solutions to the following system of inequalities in the
rectangular coordinate system.
y < 2x + 3
y ≥ −x − 1
16. (6 points) Find an equation for the line passing through the points ( 21 , 2) and
(1, −5
).
2