Algebra questions

MAPB 11 Exam #1 Study Guide

Directions: Complete on a SEPARATE sheet of paper. You do not have to print out this sheet or copy down each

word problem. Just show your work and box answers when possible. DUE: FRDAY 9/15/17

1. Use math symbols to translate each phrase. 2. Evaluate each expression using the values provided. a. The difference of five and two-thirds of a number. a. c2 + d2, for c = -4 and d = 1 b. The sum of seven times a and b. b. (2x)2, for x = 3

3. Simplify 4. Solve.

a. −92 a. 2(x − 5) = 3x + 2

5

b. | 1

2 −

2

3 | b. 10 + 5(x − 5) = 6 − (20 − 2x)

c. −4(5 − 3 ⋅ 2)

5. Simplify. 6. Solve for h

a. 3x − 4 (x − 10

7 ) a. k =

h−s

m

b. 3t3 − 2t + t4 − t + 2t3 b. hV = 2πr2h + w

7. Benjamin had 14 toy cars less than than Stuart. a. Let s represent the number of cars Stuart has. Write a formula for the number of cars Stuart and Benjamin have

together, in terms of s.

b. You find out that Benjamin and Stuart have 50 toy cars. How many cars does each child have?

8. Given the following, a. Write a formula with one variable that represents the sum of three consecutive integers. SUM = _____

b. The sum of three consecutive integers is 45. What are the integers?

9. Simplify. Express your answers without 10. On your paper, draw a coordinate axis using a negative exponents. straightedge and do the following,

a. −5−2 a. Graph the function f(x) = 2

3 x + 5.

b. 1

(2n)−3 b. On the same graph, draw a linear function f(x)

c. (3x4y−9)(−4x−2y−3) with a negative slope & a positive y – intercept.

d. ( 3a−7c

a3c−2 )

3

11. Find the slopes of the given lines. 12. Find an equation for each line. Express your . a. 4 − y = 16 answer in slope-intercept form.

b. 3y + 2x = 9 a. With m = −2 & containing the point (1, −4).

b. With m = −2.3 & containing the point (0, −10). c. Perpendicular to 4y = 3x − 6 & containing the point (3, 4).

10. In 2005, there were 55 thousand people owning a WhatEverItIs toy. By 2010, the fad had passed, and only 31 thousand people owned the toy.

a. Assuming the trend is a linear function, what is the slope of the line?

b. Verbally interpret the slope.

c. Find a linear function N(t) that expresses number of WhatEverItIs ownersas a function of the time t since 2000. d. How many people does your model predict owned the toy in 2015? Include units with your answer.