Algebra 1A, Benchmark 1, 1st period

In 1997 there were 31 laptop computers at Grove High School. Starting in 1998 the school bought 20 more laptop computers at the end of each year. The equation T = 20x + 31, can be used to determine T, the total number of laptop computers at the school x years after 1997. What was the total number of laptop computers at Grove High School at the end of 2005? A. 160 B. 171 C. 191 D. 268

2005 - 1997 = 8 20(8) + 31 191

Natalia earns a base salary of $210 each week as a waitress. She usually makes an additional 15% in tips on all orders. Natalia has set a goal to make $1,000 each week. What inequality can she use to calculate x, the total dollar amount of orders needed for her to meet her goal? 210 + 0.15x <1000 210 + 0.15x > 1000 210x + 0.15 < 1000 210x + 0.015 > 1000 *assume all arrows have a line under them

210 + 0.15 > 1000

A machine can make 54 paper bags in 2 minutes. If the machine makes the bags at a constant rate, how many bags can the machine make after 1, 3, 4, and 5 min?

54 bags in 2 minutes = 27 bags per minute 1 min = 27 bags 2 min = 54 bags 3 min = 81 bags 4 min = 108 bags 5 min = 135 bags goes up by 27 each minute

B) 0,1,2,3,4,5,

A. 1, 2, 3, 4, 5 B. 0, 1, 2, 3, 4, 5 C. 11, 18, 25, 32, 39, 46 D. 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, ...

Dee is driving home from a conference. The expression 705 - 60h gives the number of miles from home after driving h hours. Which BEST represents the meaning of the term 60h A. the number of miles Dee drove in h hours B. the number of miles Dee drove each hour C. the number of miles Dee drove when she started D. the number of miles Dee had left to drive after driving h hours

A. The number of miles Dee drove in h hours

Jonathon's car lease allows only 10,000 miles per year. Additional miles at the end of the lease will cost Jonathon 17 cents per mile. Jonathon's lease is for 3 years. Which function can be used to calculate the amount of money (A) Jonathon would owe based on the number of miles (x) the car has been driven if he exceeds the allowed number of miles A. A = 0.17x - 10,000 B. A = 0.17x - 30,000 C. A = 0.17(x - 10,000) D. A = 0.17(x - 30,000)

Amount Owed = 0.17 x (the amount over 30,000) A = 0.17(x - 30,000)

Tickets for a field trip cost $5 for students and $8 for adults. The total amount paid for tickets C can be found using the equation C = 5s + 8a Which equation is equivalent when solved for s in terms of C and a? A. s = C/5 - 8a B. s = C/5 + 8a C. s = (C - 8a)/ 5 D. s = (C + 8a) / 5

C. s = (C - 8a)/5

Slope from a graph

Rise over run

What is the slope of the line x + y = 7 A. -1 B. -2/5 C. 7 D. 26/5

Subtract x from both sides to get y by itself y = 7 - x Slope is the number in front of x Slope = -1

The answer is graph D. This is the only graph that crosses the y-axis at 12.

The y-intercept is 12 and the point (4, 36) must be on the graph.

Hugh pays $9.99 a month for an online movie rental service. The service allows him to rent and watch movies for $0.89 each. If Hugh has set a budget of $30.00 per month, which inequality can he use to find the maximum number of movies he can rent? A. 0.89m + 9.99 < 30 *assume this has a line under the arrow B. 0.89m - 9.99 < 30 *assume this has a line under the arrow C. 0.89m + 9.99<30 D. 0.89m - 9.99 < 30

Total cost is equal to 0.89 times m plus 9.99 Total cost must be less than or equal to 30 A. 0.89m + 9.99 < 30 *assume that this has a line under the arrow

Distributive Property

a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac

-2x + 3

f(x) =

April has 5 fewer quarters than twice the number of her dimes. If d represents the number of dimes April has, which expression represents the total number of April's quarters and dimes? A. 2d - 5 B. 5 - 2d C. d + (2 - 5d) D. d + (2d - 5)

fewer (subtract from) Twice (multiply by 2) 2d - 5 = Quarters d = Dimes Dimes + Quarters = Total d + (2d - 5)

If 2 less than the product of 3 and x is squared, the result is y. What is y in terms of x? A. y = (3x - 2)^2 b. y = 3x^2 - 2 C. y = 3(x^2 - 2) D. y = (3x^2) - 2

less than (subtract from) Product (multiply) Squared (exponent of 2 y = (3x - 2)^2

The grocery store when Ms. Maple works pays her $6.50 per hour. Any time she works more than 40 hours per week, she is paid time and a half for the additional hours. Her weekly pay can be found using w = 6.50h + 0.5(6.50)(h - 40) How much would Ms. Maple earn if she worked 43 hours one week? A. $975.00 B. $399.75 C. $289.25 D. $279.50

w = 6.50 (43) + 0.5(6.50)(43 - 40) $289.25

y-intercept from a graph

where the graph crosses the y-axis

Slope - intercept form

y = mx + b where m is the slope and b is the y-intercept