Algebra Regents Review (10 Question)

The graph of a linear equation contains the points (3,11) and (-2,1). Which point also lies on the graph? (1) (2,1) (3) (2,6) (2) (2,4) (4) (2,9)

-12-5

Evaluate [7 - (6 - 7(5 - 4) + 7)] + 4 1)5 2)-52 3)-28 4)31 5)None of the above

1

The cost of a pack of chewing gum in a vending machine is $0.75. The cost of a bottle of juice in the same machine is $1.25. Julia has $22.00 to spend on chewing gum and bottles of juice for her team and she must buy seven packs of chewing gum. If b represents the number of bottles of juice, which inequality represents the maximum number of bottles she can buy? (1) 0.75b 1.25(7) ≥ 22 (2) 0.75b 1.25(7) _<22 (3) 0.75(7) 1.25b ≥ 22 ≤ 22 (4) 0.75(7) 1.25b ≤ 22

1

The owner of a small computer repair business has one employee, computations. who is paid an hourly rate of $22. The owner estimates his weekly profit using the function P(x) 8600 22x. In this function, x represents the number of (1) computers repaired per week (2) hours worked per week (3) customers served per week (4) days worked per week

1

Write the equation of a line slope-intercept form containing points (-21,1) and (-7,15)

1-15 -21-7

Tigi took a benchmark the benchmark runs for 3 hours she finished in 1.5 hour she started at 12 pm when did she finish?

1.50 hours

Connor wants to attend the town carnival. The price of admission to the carnival is $4.50, and each ride costs an additional 79 cents. If he can spend at most $16.00 at the carnival, which inequality can be used to solve for r, the number of rides Connor can go on, and what is the maximum number of rides he can go on? (1) 0.79 4.50r ≤ 16.00; 3 rides (2) 0.79 4.50r ≤ 16.00; 4 rides (3) 4.50 0.79r ≤ 16.00; 14 rides (4) 4.50 0.79r ≤ 16.00; 15 rides

3

Mo's farm stand sold a total of 165 pounds of apples and peaches. computations. She sold apples for $1.75 per pound and peaches for $2.50 per pound. If she made $337.50, how many pounds of peaches did she sell? (1) 11 (3) 65 (2) 18 (4) 100

3

Multiply (3x - 7)(-6x2 + 4x + 2). 1)-18x3 - 14 2)-19x3 + 54x2 - 22x - 15 3) -17x3 + 54x2 - 22x - 13 4) -18x3 + 54x2 - 22x - 14 5)None of the above

4

Write and solve an equation that represents the problem. Express the solution in set notation. When 4 times a number n is decreased by 3 its at most 21.

4n-3=21 n=6

Find the equation that has intercepts (0, 2) and (-9, 0). 1) 3x - 10y = -30 2) 1x - 10y = -10 3) -2x - 8y = 16 4) 1x - 8y = -8 5) None of the above

5

The daily high temperatures in degrees Fahrenheit in Brodheadsville, PA, for a period of 10 days are shown below. 73 82 99 96 88 95 98 93 80 82 Determine the median and mean of the given data.

886

Find the input for which f(x) =13

f(x)=x/3+7

Jeff's restaurant sells hamburgers. The amount charged for a hamburger (h) is based on the cost for a plain hamburger plus an additional charge for each topping (t) as shown in the equation below. h = 0.60t + 5 What does the number 5 represent in the equation?

it represent the whole number

There is a completion local movies theater for free movie ticket. You must guess all four employee's ages given a few clues. The first clue is that when added together, their ages total 106 years. Kirk is twice ten years, less then the managers age. Brain is 12 years younger then twice the managers age. And Mat is six years older then half, the managers age. What are all four of their ages?

m=24

Anthony and Gerry belong to different local gyms. Anthony pays $35 per month and a one-time registration fee of $15. Gerry pays only $25 per month but had to pay a $75 registration fee. After how many months will Anthony and Gerry have spent the same amount on their gym membership.

x=6

Ben has four more twice as many iPads as Jake. If they have total of 31 iPads, how many iPads each does Ben and Jake have.

x=9

Write the equation of a line slope-intercept form containing points (-6,1) and (-3,3)

y=2/3x+5

A function rule takes an input, n, and coverts into an output, by increasing one half of the input by 10. Determine the output for this rule when the input is 50 and then write an equation for the rule.

y=25+10 y=35