Algebra 1 Chapter 1 Test 1 Write in

Algebra 1 Chapter 1 Test 1) Write in words: 15² - 4 r Fifteen squared minus four times a number. 15²+ 4 r Fifteen squared plus four times a number. x² + 4 5² + 7 r A number squared plus four. Five squared plus seven times a number.

Write an algebraic expression: • Fifteen subtracted from a number squared A² - 15 • Fifteen subtracted from twice a number 2 m - 15 • Eleven subtracted from twice a number 2 x - 11 • Thirteen subtracted from twice a number squared 2 x² - 13

Write an algebraic expression: 3) Double a number cubed decreased by 13 2 x³ - 13 3) Triple a number squared decreased by twice a number 3 x² - 2 x 3) Seventeen squared increased by twice a number 17² + 2 x 3) A number cubed decreased by twice a number T³ - 2 y

Simplify: • 4) 3 x 2³ - (-7) + 6 ÷ 2/3 = 3 x 8 + 7 + 6 X 3/2 = 24 + 7 + 18/2 = • 31 + 9 = 40 • 4) 3 x 2³ - (-4) + 8 ÷ 2/3 = 3 x 8 + 4 + 8 x 3/2 = 24 + 24/2 • = 24 + 12 = 40 • 4) 3 x 2³ - (-4) + 6 ÷ 2/3 = 3 x 8 + 4 + 6 x 3/2 = 24 + 18/2 • = 28 + 9 = 37

Simplify: 5) -20 ÷ 4/5 + 2 ÷ 1/6 = -20 x 5/4 + 2 x 6/1 = -100/4 + 2 x 6 = -25 + 12 = -13 5) -20 ÷ 4/5 + 3 ÷ 1/6 = -20 x 5/4 + 3 x 6/1 = -100/4 + 3 x 6 = -25 + 18 = -7 5) -20 ÷ 4/5 + 5 ÷ 1/6 = -20 x 5/4 + 5 x 6/1 = -100/4 + 5 x 6 = -25 + 30 = 5 5) -20 ÷ 4/5 + 9 ÷ 1/6 = -20 x 5/4 + 9 x 6/1 = -100/4 + 9 x 6 = -25 + 54 = 29

• 7) Solve 5 x – 2 = 138 • 5 x = 140 x = 28 • 7) Solve 5 x – 22 = 138 • 5 x = 160 x = 32 • 7) Solve 5 x – 2 = 108 • 5 x = 110 x = 22 • 7) Solve 5 x – 2 = 148 • 5 x = 150 x = 30

Solve: 8) 9 x – 17 = 13 x + 23 8) 9 x – 17 = 12 x + 16 -40 = 4 x -33 = 3 x x = -10 x = -11 8) 9 x – 2 = 11 x + 16 8) 9 x – 17 = 7 x + 15 -18 = 2 x -9 = x 2 x = 32 x = 16

9) Solve: 2/3 X - 5 = 3/4 X - 9 Rewrite both fractions over 12. 9) Solve: 2/3 X - 6 = 3/4 X - 9 Rewrite both fractions over 12. 9) Solve: 2/3 X - 1 = 3/4 X - 9 Rewrite both fractions over 12. 9) Solve: 2/3 X - 6 = 3/4 X - 10 Rewrite both fractions over 12. 8/12 x - 5 = 9/12 x - 9 12(8/12 x) - 5(12) = 12(9/12 x) - 9(12) 8 x – 60 = 9 x - 108 48 = x 8/12 x - 6 = 9/12 x - 9 12(8/12 x) - 6(12) = 12(9/12 x) - 9(12) 8 x – 72 = 9 x - 108 36 = x 8/12 x - 1 = 9/12 x - 9 12(8/12 x) - 1(12) = 12(9/12 x) - 9(12) 8 x – 12 = 9 x - 108 96 = x 8/12 x - 6 = 9/12 x - 10 12(8/12 x) - 6(12) = 12(9/12 x) - 10(12) 8 x – 72 = 9 x - 120 48 = x

Tell the domain and range. Is this a function? 11) (-4, 3), (5, 7), (9, 0), (-10, 7), (9, 2) Domain: -4, 5, 9, -10 Range: 3, 7, 0, 2 Not a function. X = 9 is used with 2 y values 11) (-4, 3), (5, 7), (9, 0), (-10, 7), (5, 2) Not a function. X = 5 is Domain: -4, 5, 9, -10 Range: 3, 7, 0, 2 used with 2 y values 11) (-4, 3), (5. 7), (9, 0), (-10, 7), (2, 2) Domain: -4, 5, 9, -10, 2 Range: 3, 7, 0, 2 11) (-4, 3), (5, 7), (0, 0), (-10, 7), (2, 2) Domain: -4, 5, 0, -10, 2 Range: 3, 7, 0, 2 This is a function because each x value is only used once.

Tell the domain and range. Is this a function? • 12) 3 5 17 Domain: [0, 17] Range: [0, 3] Not a function – vertical line hits more than 1 point 2 10 18 Domain: [0, 18] Range: [0, 5] Not a function –vertical line hits more than 1 point Domain: [0, 10] Range: [0, 2] Not a function –vertical line hits more than 1 point 4 16 Domain: [0, 16] Range: [0, 4] Not a function – vertical line hits more than 1 point

13) Distributive Property 9(3 x – 7) -5(3 x – 7) = 27 x - 63 = -15 x + 35 -10(3 x – 7) 8(6 x – 7) = -30 x + 70 = 48 x - 56

Name the property shown below: 4 x 1 = 4 4 + 5 = 5 + 4 MULTIPLICATIVE IDENTITY Commutative or Symmetric 4 + 0 = 4 4 x 0 = 0 Multiplicative Property of Zero ADDITIVE IDENTITY