Week 1 Test—MAT 116
𝑧
1. Evaluate 𝑦 for z = 104 and y = 8
13
2. Simplify: 8[6-6(6-4)]
-48
3. Divide, if possible:
18
−3
-6
𝑥
4. Solve using multiplication principle: 6= -9
-54
5. Determine which real number corresponds to the situation:
The record low temperature for a date is 17.6 degrees below zero. The corresponding
number for this sentence is ____.
-17.6
6. 42 divided by t. The translation is ____.
42/t
7. 7*4-6*5+2. The answer is 0
8. The opposite, or additive inverse, of -28 is 28
9. Factor: 18x + 18y – 180 = 18(x+y-10)
10. Subtract: -8-7 = -15
11. -4.2+9.3 =
5.1
12. Use associative law to find and equivalent expression.
An equivalent expression of 6*(y*x) is _____.
(6*y)*x
13. Multiply: -1.4(23)
-32.2
180
14. Divide, if possible: −20
-9
15. Find an equivalent expression without parentheses: -(c+45) = _____.
-c-45
3
16. Find the decimal notation for the fraction: − 19
Does it say to round to something? I’ll assume the hundredth…
-0.16
17. Solve using the principles together: 6x - 4 = 26
5
18. The formula b=32a is used in New England to estimate the minimum furnace output, b, in
BTU’s, for a modern house with a square feet of flooring.
a) Determine the minimum furnace output for a 2300𝑓𝑡 2
73600
b) Solve the formula for a
b/32
19. Solve for the indicated letter: y = 9 + x, for x
The solution is x = y-9
20. Solve: 3(x – 6) + 8 = 5(x + 2) – 4
-8
21. On three consecutive passes, a football team gains 5 yards, loses 14 yards, and gains 10
yards. What number represents the total net yardage? ______.
Answer is 1
22. Collect like terms: 2.6u + 0.69v – 0.44u + 3.2v = ______.
2.16u + 3.89v
𝑥
23. Determine whether 10 is a solution of the equation 5 = 2
YES
24. Add the following: 87 + (-72) = _____.
15
25. What percent of 480 is 390? The solution is _____%.
81.25 (check carefully for typos on this one)
26. Translate to an algebraic expression: 32 more than b. _______.
b+32
27. Solve using the addition principle: 6.6 = t – 2.3
8.9
28. Solve using the addition principle: -38 + m = 34
72
91𝑥𝑧
29. Simplify your answer, type a fraction: − 169𝑥𝑧
-7/13
62.0
30. Divide −6.2
-10
31. Subtract: 4 – 15.53 =
-11.53
32. Solve using the multiplication principle: -7x = 112. The solution is x = _____.
-16
33. Solve: 7x – 20 = 2x
4
34. Evaluate (-3y)2 and -3y2 when y = 4.
(-3y)2 = 144
-3y2 = -48
35. Translate into an algebraic expression: Three more than twice a number
2x + 3 (but use whatever letter they say, instead of “x”)
36. Multiply (75)(38)
2850