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Part A: Answer each of the following questions. Each solution is worth 4 12 points. Show all calculations.
1. Graph the following set on a number line and express the set in interval notation.
{xl xs-2)
HHHHH
Hhhhh HHHH
-10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
2. Simplify this expression.
2(4x + 1) - (x + 3)
3. Simplify this expression.
-4²-3²
-6+1
4. Simplify this expression.
8xy2 + 4xy - 6xy?
5. Which property is shown by this expression?
3.1/3 = 1
6. Solve the equation
12(x + 5) = x + 16.
3508753
(Continued on reverse side)
7. Simplify the inequality below and give your answer in interval notation.
20 < 5x 5 35
8. Identify the x- and y-intercepts of this equation and graph the line.
3x + 2y =12
6
5-
4-
3
2-
1
Х
0
-6 -5 4 -3 -2 - 1
1 2 3 4 5 6
23456
9. Write an equation of a line containing (2, -3) and perpendicular to 3x + 4y = 14.
10 Write the domain in interval notation.
X-3
f(x)=
x + 2
11. Find the function value.
h(x)
= 2x + 1 f(x) = x - 2
(n + (3)
12. Solve this system by using the substitution method.
3x + 2y = 18
y = x + 4
13. Two angles are supplementary. Three times the measure of one angle is 20° more than the
measure of the other. Find the measure of each angle.
2
3
14. Write the following expression using positive exponents.
2xy
3xy?y?
diate X
15. Factor the following expression completely.
A2 + 12A + 35
16. Perform the operations indicated in the following expression and simplify the result.
v²-9
v2-8V +12
v2-6V +9
-v²-9
17. The volume (V) of a rectangular solid with square base with side length (I) and height (h) is given by
V=Rn. Solve this formula for I.
18. Rationalize the denominator of
(1+2)/(a + 2)
19. Simplify this radical. Assume that all variables represent positive numbers.
ſao?
20. Find the product. Give your answer in a + bi form.
12 - 3172
21. Multiply.
2114x -67x)
22. Solve the radical equation.
√x-1=4
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Algebra Test
Part A: Answer each the following questions. Each solution is worth 4 ½. Show all calculations.
1. Graph the following set on a number line and express the in interval notation.
{𝑥|𝑥 ≤ −2}
...
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Part 1: Using the Gun Control dataset complete the following tasks:
Run a t-test on the variables: OwnGun, AmericanOwn.
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research hypothesis.
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MAC 2105 Keiser University Week 2 Maths Worksheet
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CRJU 3401Dakota College Gun Control Independent Samples Test Questions
Part 1: Using the Gun Control dataset complete the following tasks:
Run a t-test on the variables: OwnGun, AmericanOwn. ...
CRJU 3401Dakota College Gun Control Independent Samples Test Questions
Part 1: Using the Gun Control dataset complete the following tasks:
Run a t-test on the variables: OwnGun, AmericanOwn.
Identify the:
null hypothesis.
research hypothesis.
t-statistic.
degrees of freedom.
p-value.
Summarize your findings.
Part 2: Using the Gun Control dataset complete the following tasks:
Run an ANOVA on the variables: Religion, AmericanOwn.
Identify the:
null hypothesis.
research hypothesis.
F-statistic.
degrees of freedom.
p-value.
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