Math 151 Sample Exam 1
1. Name each indicated property.
a)
b)
c)
2. Evaluate by performing the indicated operations.
a)
b)
c)
d)
e)
f)
3. Evaluate the expression for the given value of the variable.
;
4. Find the prime factorization of 300.
5. Remove parenthesis and simplify.
a)
b)
c)
6. Solve. Label any contradictions or identities.
a)
b)
c)
d)
e)
f)
7. Solve each inequality. Represent the solution in interval notation.
a)
b)
c)
d)
8. Graph on a number line.
a)
9. Find the decimal notation: 230%.
10. Find percent notation: 0.003.
b)
11. Solve for the indicated variable.
12. Solve the equation for . Write the answer in
form.
13. The perimeter of a rectangular calculator is 36 cm. The length is 4 cm greater than the width. Find the width and the
length.
14. By lowering the temperature of their electric hot-water heater from
F to
F, the Kelly’s average electric bill
dropped by 7% to $60.45. What was their electric bill before their lowered the temperature of their hot water?
15. A triangle has a perimeter of 75 inches. Find the three sides if one side is 15 inches largers than the smallest side,
and the third side is twice the smallest side.
16. A chemist wishes to make 3 liters of a 6% acid solution by mixing an 8% acid solution and a 5% acid solution. How
many litters of each should she mix?
17. Alice and Bonnie start running at the same time from the same point and run in the same direction. Alice runs at 8
mph while Bonnie runs at a slower pace. After 2 hours they are 4 miles apart. Determine the speed at which Bonnie is
running.
18. A candy shop sells candy in bulk. In one bin is Jelly Belly candy, which sells for $2.20 per pound, and in a second bin is
Kits, which sells for $2.75 per pound. How much of each type should be mixed to obtain a 3-pound mixture that sells for
$2.40 pound?
19. Plot each point on the same axis.
20. Determine whether the equation
a)
has each ordered pair as a solution.
b)
21. Graph
by finding the x-intercept and the y-intercept.
22. Write the equation represented by the given graph.