1617 GSE Alg. I Relationships between Quantities & Expressions Touchstone
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1 High School HS Algebra GSE Alg. I Relationships between Quantities & Expressions Touchstone 1. Which expression results in a rational number? Given: L = 2 M = 3 3 N = 16 P = 9 A. L + M B. M + N C. N + P D. P + L 2. Find the difference between the polynomials. (-5x 2 + x - 5) - (-3x 2-8x - 3) A. -2x 2 + 9x + 5 B. -2x 2 + 9x - 2 C. -2x 2 + 9x - 8 D. -2x 2-7x Find the product to the following expression. (x - 15)( x - 3) A. x 2-18x - 18 B. x 2-18x - 45 C. x 2-18x + 45 D. x 2-12x Which answer choice is equivalent to the expression? (x + 6) 2 A. x x + 12 B. x x + 36 C. x 2 + 6x + 36 D. x
2 5. Charles runs at a rate of 12 kilometers per hour. What is Charles speed in meters per minute? A. 12 meters per minute B. 20 meters per minute C. 120 meters per minute D. 200 meters per minute 6. How many terms would be in the simplified expression? 22x x 2 + 3x x 2 A. 5 B. 4 C. 3 D A. 32x+12 B. 46x+25 C. 50x+11 D. 64x Simplify the following expressions: A B. 5 2 C. 40 D. 4
3 9. Convert 3 weeks to hours. A hours B. 55 hours C. 504 hours D. 875 hours 10. Which statement is TRUE about the value of the expression? ( 8 + 4) 4 A. It is rational because the product of two rational numbers is rational. B. It is rational because the product of a rational number and an irrational number is rational. C. It is irrational because the product of two irrational numbers is irrational. D. It is irrational because the product of an irrational number and a rational number is irrational. 11. Which mathematical term describes both the number 5 and the sum (2 + x) in the expression? 5(2 + x) A. Coefficient B. Constant C. Factor D. Variable 12. Andrew purchased some drinks and some chips. Each bag of chips cost $2.00 and each drink cost $2.50. The expression above gives the total amount of money spent by Andrew on chips and drinks. What is the meaning of the term 2.5y? 2x + 2.5y A. The number of chips purchased by Andrew B. The cost of one drink C. The total amount spent on drinks by Andrew D. The number of drinks purchased by Andrew
4 13. What is the area of the rectangle shown? Simplify completely. A. 2x 2 - x - 28 B. 2x 2 + x - 28 C. x 2-8x + 45 D. x 2 - x A bird chirps 10 times a minute. Determine how many times the bird would chirp in a day. A. 144 times per day B. 1,440 times per day C. 14,400 times per day D. 144,000 times per day 15. Simplify the following expression: A. 6 2 B. 6 3 C D The average time it takes Greg to mow a lawn can be defined by the expression 28x + 5 where x is the number of lawns. In this scenario, what does the number 28 represent? A. The number of lawns Greg mows B. The average time it takes to mow one lawn C. The average price Greg charges per lawn D. The average time it takes to mow multiple lawns 17. After simplifying the expression, how many terms are there and what is the leading coefficient? 9n + 7m 2-2m m A. Terms: 2, leading coefficient: 7 B. Terms: 4, leading coefficient: 7 C. Terms: 2, leading coefficient: 9 D. Terms: 4, leading coefficient: 9
5 18. What are the term(s), coefficient(s), and constant(s) described by the phrase, "the cost of 6 pizzas, c being the cost of each pizza, and a delivery charge of $5?" A. Term: 6c, coefficient: 6, constant: 5 B. Term: 6c and 5, coefficient: 6, constant: 5 C. Term: 6c and 5, coefficient: 5, constant: 6 D. Term: 11c, coefficient: 11, constant: none 19. The number of tennis shoes produced by a factory is given by the expression above where the variable x represents the number of hours that the factory has been open. What is the meaning of the coefficient in this expression? 115x A. The factory produces 115 shoes every hour. B. The factory produces 350 shoes every hour. C. The factory started the day with 350 shoes. D. The factory started the day with 115 shoes. 20. Simplify the following expression: 20a 4 b 9 A. 2ab 4 5a B. 2a 2 b 4 5b C. 5ab 2 2b D. 5a 2 b 4 5a
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202 Holt McDougal Algebra 1
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