NBHS Algebra 1 Benchmark - Scott Donnelly | Library

Carefully read each question. Answer the question in the space provided showing all your work, including all steps. Be sure to label your answers. Calculators are not allowed on this assessment.

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What is the value of a if,

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If k=3. what is the value of x

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A babysitter charges $8 per hour for each babysitting job she works and charges a travel allowance of $10 for each job. Write an equation to show the number of hours, h, the babysitter worked at a job for which she charged $78? WRITE THE EQUATION, BUT DO NOT SOLVE.

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You sell small and large candles at a craft fair. The large candles cost $6 each and the small candles cost $4 each. You collect $144 selling a total of 28 candles. Write a system of linear equations to represent the information. WRITE THE EQUATIONS, BUT DO NOT SOLVE.

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A grocery store sells a brand of juice in individual bottles and in packs of 6 bottles. On a certain day, the store sold a total of 281 bottles of the brand of juice, of which 29 were sold as individual bottles. Write an equation that shows the number of bottles, p, sold that day? WRITE THE EQUATION, BUT DO NOT SOLVE.

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The pentagon below has a perimeter of 56 units. Use the picture to write the equation for the perimeter of the figure. WRITE THE EQUATION, BUT DO NOT SOLVE.

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Janelle wants to buy meat and vegetables for a barbecue at a grocery store, the cost of meat per pound is x dollars, and the cost per pound for vegetable is y dollars. The equation 6x + 3y= 42 shows how x and y are related when Janelle spends a total of $42 on meat and vegetables. A possible solution to this equation is (2, 10). Interpret what this solution means. Write your answer in complete sentences.

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The function c(x) = 0.5x + 70 represents the cost c (in dollars) of renting a truck from a moving company, where x is the number of miles you drive the truck. Determine what the slope and y-intercept represent, as related to the problem. Write your answer in complete sentences.

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You are ordering shirts for the math club at your school. Short-sleeved shirts cost $10 each. Long-sleeved shirts cost $12 each. You have a budget of $300 for the shirts. The equation
models the total cost, where x is the number of short-sleeved shirts and y is the number of long-sleeved shirts.
Determine what the x and y-intercepts represent, as related to the problem. Write your answer in complete sentences.

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A coffee shop is running a promotion where a number of free coffee samples are given away each day. The equation
can be used to model the number of free coffee samples, y, that remain to be given away x days after the promotion began. What does it mean that (11, 0) is a solution to this equation? Write your answer in complete sentences.

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Solve the following inequality. Graph your solution on a number line.

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A store manager needs to order two different products. Product X costs $12 per unit, and Product Y costs $9 per unit. The manager has $115 to spend on a combination of these products. If the manager decides to buy 5 units of Product X, what is the maximum whole number of units of Product Y that the manager can buy?

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You have $250 to spend at a sporting goods store. What is the maximum pairs of socks you can buy at $12 per pair if you buy 2 pairs of $80 sneakers?

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