Algebra 1A
1) Determine whether the given numbers are solutions of the inequality.
8, -13, -14, -1,
y = 10 > 2y – 4
I’m assuming the first = is actually a –
8 NO
-13 YES
-14 YES
-1 NO
2) Hockey teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 48 points. They won 9 more games than they tied. How many wins and how many ties did the team have?
Wins = 19
Ties = 10
3) Solve. Then Graph. Y + 3 < 8. The solution is {y | y < ____}
y < 5
2 3 4 5 6 7
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4) 39 – (3x + 7) 2 (x + 4) + x. Use set-builder to describe the complete solution. {x | x __ __}
X ≥ 4
5) Solve the system of equations by graphing. Then classify the system.
7x + y +24
8x + 9y + -4 Is the system consistent or inconsistent? Are the equations dependent or indep?
I’m guessing that the last + should be =
(4, -4), consistent, independent
7) Solve the system of equations by graphing. Then classify the system.
3x -9y = 9
2x – 6y = -10 Is the system consistent or inconsistent? Are the equations dependent or indep?
No solution
Inconsistent, independent
8) Graph the system of inequalities.
x 2
y - 2x + 3
9) The perimeter of a rectangle is 138 inches. The length exceeds the width by 41 inches. Find the length and the width.
Length = 55
Width = 14
10) Solve and graph. 9x + 9 -45 or 5x + 2 - 8. Soultion is {x | x __}
x ≥ -6
-10 -5 0 5
[------
11) [x - ] - Use set-builder to describe the complete solution. {x | x _ _}
x < 29/10
12) Solve the system by the elimination method.
5x + 5y = - 13
7x – 3y = 11
(8/25, -73/25)
13) Bayside insurance offers two health plans, Under plan A, Giselle would have to pay the first $80 of her medical bills, plus 30% of the rest. Under plan B, Giselle would pay the first $230, but only 25% of the rest. For what amount of medical bills will plan B save money. Assume she has over $230 in bills. Giselle would save with plan B if she had more than $____ in bills.
2330
14) Solve by the substitution method.
6x + 7y = -14
-9x + y + 67 What is the solution of the system?
I’m assuming that there should be an equals sign:
(-7, 4)
16) The body mass index, I, can be used to determine an individual’s risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model, I = , where W = weight, in pounds, and H= height, in inches. Francis is 69 inches tall. What weights will keep his BMI between 24 and 32? Francis BMI will fall between 24 and 32 for the set of all weights such that __ < W < __
163 to 218
17) solve by the elimination method.
5x + 6y = 1
10x + 12y = 2 What is the solution of the method?
Infinite solutions
18) Determine whether the ordered pair is a solution of inequality. (4, 16); 7y – 8x > 5. Is the ordered pair of a solution of the inequality?
YES
19) a disc jockey must play 12 commercial spots during 1 hour of a radio show. Each commercial is either 30 or 60 seconds long. If the total commercial time is 1 hour is 8 min, how many 30 second commercials were played that hour? How many 60 second commercials?
30 sec = 8
60 sec = 4
20) Graph and write the solution in interval notation.
x , 8 and x -5
Question is missing a symbol in the left one…
21) Graph the inequality on a plane. x + y = 5
This is not an inequality. Please retype it…
22) Solve and graph. -10 3x + 5 and 3x + 5 < 20. The solution is {x | __ x < __}
-5 ≤ x < 5
-15 -10 -5 0 5 10
[------)
24) -x - . The solution set is {x | x __ __}
X ≤ 5/6