EXAM 1 [1-3, 1-4, 2-2, 2-4] STUDY GUIDE
1.) 14 + 4y = 24 - 6y
2.) 6 + 3x = -27 + 9x
3.) 6x + 8 = -(x + 5)
4.)
1
𝑚
24
+
1
4
=
1
2
+𝑚
5.) V = π𝑟 2 ; Solve for r
6.) d =
2𝑥
𝑎
+ 𝑏 ; Solve for x
7.) ax + bx -15 = 0; Solve for x. State any restrictions on the variables.
8.) The lengths of the sides of a triangle are in the ratio 2: 3: 4. What is the length of each side if the
perimeter of the triangle is 18 in.
9.) Dog kennel owner has 100 ft of fencing to enclose a rectangular dog run. He wants it to be 5
times as long as it is wide. Find the dimensions of the dog run.
10.) 2 + 2k ≤ 8; Solve for the inequality and graph it.
11.) 2(2n – 5) – 6 > -36; Solve for the inequality and graph it.
12.) 26 – 6b ≥ 2(3b + 4); Solve for the inequality and graph it.
13.) Two cars leave Dallas at the same time and travel in opposite directions. One car travels 15 mph
faster than the other car. The cars are 460 miles apart in 4 hours. How fast is each car traveling?
14.) A club decides to sell T-shirts for $15 as a fundraiser. It costs $20 plus $9 per T-shirt to make the
T-shirts. Write and solve an equation to find how many T-shirts the club needs to make and sell
in order to profit at least $150.
15.) Graph 5/3y – x/3 = -2/3
16.) Graph the equation 5x + 5y = 25 by finding the intercepts.
17.) Find the slope of the line through the pair of points: (9, 3) and (0, 10).
18.) Write in standard form an equation of the line passing through the given point (-3,3) with the
given slope= -9.
19.) Through (-2, -2) and perpendicular to y = 6/5x +5
20.) Through (-4, -3) and parallel to y = x + 7
21.) A 5-mile cab ride costs $10.00 A 7-mile cab ride costs $11.96 Find a linear equation that models
cost c as a function of distance d write your linear equation using function notation?
22.) If the perimeter of a rectangular picture frame must be less than 200 in., and the width is 36 in.,
what must the height h of the frame be?
Study Guide Answer Key 
1.) y = 1
2.) x = 11/2
3.) x = -3/7
4.) m = -6/23
5.) r = √𝑣/𝜋
6.) x = a(d – b)/2
7.) x = 15/a + b; a ≠ -b
8.) 4in, 6in, 8in
9.) Width is about 8 1/3 and Length is about 41 2/3
10.) K ≤ 3; Graph should include a close circle/to the left
11.) n > -5; Graph should include a open circle/to the right
12.) True Statement; All Real Numbers are Solutions
13.) One car is traveling at a speed of 50 mph and the other is at speed of 65 mph
14.) X ≥ 28.33
15.) Graph y = 1/5x -2/5
16.) X-intercept: (5, 0) and y-intercept: (0, 5); Graph y = -x + 5
17.) m = -7/9
18.) 9x + y = -24
19.) Y= -5/6x -6/5; Graph both equations
20.) Y = x + 1; Graph both equations
21.) C = .98t + 5.1
22.) H < 64 in.