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Algebra A | Ch. 1 Test (1.5-1.6, 1.8) Review
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Clare buys organic almonds priced at $77 from the grocery store. How much did she pay the cashier, if she received $23 in change?
$77 + $23 = $100
Melanie lends half her collection of formal dresses to her sister, Etel. Melanie then buys 4 more dresses. If she has 12 dresses now, how many dresses did Melanie have initially?
12 - 4 = 8; 8 x 2 = 16 dresses
A bus left NY @ 11 pm w/ 44 passengers. Later, some passengers got off @ NJ. The # of passengers who boarded the bus @ NJ were twice the # of passengers who got off the bus. The bus had 50 passengers now. How many passengers got off @ NJ?
44 + x = 50; x = 6 people
Suppose a was Clare's age 12 years ago. Write an expression for Clare's age now.
a + 12 years
Suppose x is the amount of money Raquel earned on Monday, and she earned twice that amount on Tuesday. Write an expression for the amount Raquel earned on those two days.
x + 2x = 3x
Write as an algebraic expression: twice a number
2x
Write as an algebraic expression: 11 increased by a number
11 + n  or  n + 11
Write as an algebraic expression: seven less than a number
x - 7
Write as an algebraic expression: five times a number
5x
Collect like terms: 15m squared + 12m + 4m squared
19m squared + 12m
Collect like terms: 3a + 2b + 5a + 7b
8a + 9b
Factor: 4 + 12b + 36a
4(1 + 3b + 9a)
Factor: 18x + 6y
6(3x + y)
Use the distributive property to write an equivalent expression: (5a - 3b + 8)4
32 - 12b + 20a
Use the distributive property to write an equivalent expression: 7(y + 5)
7y + 35