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Name: ________________________ Class: ___________________ Date: __________ ID: A Algebra REVIEW for Sections 5.7 and 5.8 Quiz Find the slope of the line. ____ ____ 1. a. 1 2 b. 1 2 c. 2 a. 3 4 b. 4 3 c. – d. 2 2. 3 4 d. 4 3 What is the slope of the line that passes through the pair of points? ____ ____ 3. (–5.5, 6.1), (–2.5, 3.1) a. –1 b. 5 9 4. ( , 1), (2, ) 3 2 2 a. 33 b. 1 2 33 c. –1 c. 1 33 2 d. 1 d. 33 2 Name: ________________________ ID: A Write an equation for the line that is parallel to the given line and passes through the given point. ____ ____ ____ 5. y = 5x + 7; (2, 16) 1 a. y = x – 6 5 1 b. y = x + 6 5 3 6. y = x – 8; (–15, –23) 5 5 a. y = x + 14 3 3 6 b. y = x 5 5 7. y = 7.7x + 0.4; (3.3, 1.3) a. y = –7.7x + 26.71 b. y = –7.7x – 26.71 c. y = 5x + 6 d. y = 5x 78 c. d. 3 y = x – 14 5 5 y = x – 14 3 c. d. y = 7.7x + 26.71 y = 7.7x – 24.11 c. d. x-intercept is –2.9; y-intercept is 5.4 x-intercept is 5.4; y-intercept is –2.9 c. x-intercept is 5; y-intercept is d. x-intercept is 5; y-intercept is b. undefined Find the x- and y-intercept of the line. ____ ____ 8. –2.9x + 5.4y = 140.94 a. x-intercept is 26.1; y-intercept is –48.6 b. x-intercept is –48.6; y-intercept is 26.1 7 9. x 4y = 7 5 a. b. 7 x-intercept is ; y-intercept is 5 4 7 x-intercept is 5; y-intercept is 4 What is the slope of the line? ____ 10. a. 0 2 7 4 7 4 Name: ________________________ ID: A ____ 11. a. undefined b. 0 Write the equation of a line that is perpendicular to the given line and that passes through the given point. 7 3 x ; (–4, 2) 8 2 8 3 a. y = x 7 2 8 18 b. y = x 7 7 ____ 12. y = c. d. 8 y= x 7 8 y= x 7 3 2 18 7 Tell whether the lines for each pair of equations are parallel, perpendicular, or neither. 1 ____ 13. y = x + 4 6 6x – y = –9 a. parallel b. perpendicular c. neither 1 ____ 14. y = x – 5 6 –2x + 12y = 6 a. parallel b. perpendicular c. neither 7 ____ 15. y = x + 9 2 –21x – 6y = 3 a. parallel b. perpendicular c. neither 3 Name: ________________________ ID: A Graph the equation. ____ 16. y = 4x – 3 a. b. c. d. 4 Name: ________________________ ID: A ____ 17. Giselle pays $210 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted from the account. Model the situation with a linear function and a graph. a. c. b = 210 – 15x b = 195 – 15x d. b. b = 210 + 15x b = 195 + 15x 5 Name: ________________________ ID: A Match the equation with its graph. ____ 18. 3 3 xy= 4 4 a. c. b. d. 6 ID: A Algebra REVIEW for Sections 5.7 and 5.8 Quiz Answer Section 1. ANS: B PTS: 1 DIF: L3 REF: 5-1 Rate of Change and Slope OBJ: 5-1.2 To find slope NAT: CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.b STA: AI.P.4| AI.P.5 TOP: 5-1 Problem 2 Finding Slope Using a Graph KEY: slope 2. ANS: A PTS: 1 DIF: L3 REF: 5-1 Rate of Change and Slope OBJ: 5-1.2 To find slope NAT: CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.b STA: AI.P.4| AI.P.5 TOP: 5-1 Problem 2 Finding Slope Using a Graph KEY: slope 3. ANS: A PTS: 1 DIF: L3 REF: 5-1 Rate of Change and Slope OBJ: 5-1.2 To find slope NAT: CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.b STA: AI.P.4| AI.P.5 TOP: 5-1 Problem 3 Finding Slope Using Points KEY: slope 4. ANS: C PTS: 1 DIF: L4 REF: 5-1 Rate of Change and Slope OBJ: 5-1.2 To find slope NAT: CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.b STA: AI.P.4| AI.P.5 TOP: 5-1 Problem 3 Finding Slope Using Points KEY: slope 5. ANS: C PTS: 1 DIF: L2 REF: 5-6 Parallel and Perpendicular Lines OBJ: 5-6.2 To write equations of parallel lines and perpendicular lines NAT: CC G.GPE.5| A.2.a| A.2.b STA: AI.P.5| AI.P.6 TOP: 5-6 Problem 1 Writing an Equation of a Parallel Line KEY: parallel lines 6. ANS: C PTS: 1 DIF: L3 REF: 5-6 Parallel and Perpendicular Lines OBJ: 5-6.2 To write equations of parallel lines and perpendicular lines NAT: CC G.GPE.5| A.2.a| A.2.b STA: AI.P.5| AI.P.6 TOP: 5-6 Problem 1 Writing an Equation of a Parallel Line KEY: parallel lines 7. ANS: D PTS: 1 DIF: L3 REF: 5-6 Parallel and Perpendicular Lines OBJ: 5-6.2 To write equations of parallel lines and perpendicular lines NAT: CC G.GPE.5| A.2.a| A.2.b STA: AI.P.5| AI.P.6 TOP: 5-6 Problem 1 Writing an Equation of a Parallel Line KEY: parallel lines 8. ANS: B PTS: 1 DIF: L3 REF: 5-5 Standard Form OBJ: 5-5.1 To graph linear equations using intercepts NAT: CC N.Q.2| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.IF.9| CC F.BF.1.a| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b STA: AI.P.5 TOP: 5-5 Problem 1 Finding x- and y-intercepts KEY: x-intercept | standard form of a linear equation 9. ANS: D PTS: 1 DIF: L3 REF: 5-5 Standard Form OBJ: 5-5.1 To graph linear equations using intercepts NAT: CC N.Q.2| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.IF.9| CC F.BF.1.a| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b STA: AI.P.5 TOP: 5-5 Problem 1 Finding x- and y-intercepts KEY: x-intercept | standard form of a linear equation 1 ID: A 10. ANS: A PTS: 1 DIF: L3 REF: 5-1 Rate of Change and Slope OBJ: 5-1.2 To find slope NAT: CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.b STA: AI.P.4| AI.P.5 TOP: 5-1 Problem 4 Finding Slopes of Horizontal and Vertical Lines KEY: slope 11. ANS: A PTS: 1 DIF: L3 REF: 5-1 Rate of Change and Slope OBJ: 5-1.2 To find slope NAT: CC F.IF.6| CC F.LE.1.b| A.2.a| A.2.b STA: AI.P.4| AI.P.5 TOP: 5-1 Problem 4 Finding Slopes of Horizontal and Vertical Lines KEY: slope 12. ANS: B PTS: 1 DIF: L4 REF: 5-6 Parallel and Perpendicular Lines OBJ: 5-6.2 To write equations of parallel lines and perpendicular lines NAT: CC G.GPE.5| A.2.a| A.2.b STA: AI.P.5| AI.P.6 TOP: 5-6 Problem 3 Writing an Equation of a Perpendicular Line KEY: perpendicular lines 13. ANS: B PTS: 1 DIF: L3 REF: 5-6 Parallel and Perpendicular Lines OBJ: 5-6.1 To determine whether lines are parallel, perpendicular, or neither NAT: CC G.GPE.5| A.2.a| A.2.b STA: AI.P.5| AI.P.6 TOP: 5-6 Problem 2 Classifying Lines KEY: perpendicular lines | parallel lines | compare properties of two functions 14. ANS: C PTS: 1 DIF: L3 REF: 5-6 Parallel and Perpendicular Lines OBJ: 5-6.1 To determine whether lines are parallel, perpendicular, or neither NAT: CC G.GPE.5| A.2.a| A.2.b STA: AI.P.5| AI.P.6 TOP: 5-6 Problem 2 Classifying Lines KEY: perpendicular lines | parallel lines | compare properties of two functions 15. ANS: A PTS: 1 DIF: L3 REF: 5-6 Parallel and Perpendicular Lines OBJ: 5-6.1 To determine whether lines are parallel, perpendicular, or neither NAT: CC G.GPE.5| A.2.a| A.2.b STA: AI.P.5| AI.P.6 TOP: 5-6 Problem 2 Classifying Lines KEY: perpendicular lines | parallel lines | compare properties of two functions 16. ANS: D PTS: 1 DIF: L3 REF: 5-3 Slope-Intercept Form OBJ: 5-3.2 To graph linear equations in slope-intercept form NAT: CC A.SSE.1.a| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.BF.1.a| CC F.BF.3| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b STA: AI.P.4| AI.P.5| AI.P.11 TOP: 5-3 Problem 5 Graphing a Linear Function KEY: linear equation | y-intercept | slope-intercept form 17. ANS: C PTS: 1 DIF: L3 REF: 5-3 Slope-Intercept Form OBJ: 5-3.2 To graph linear equations in slope-intercept form NAT: CC A.SSE.1.a| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.BF.1.a| CC F.BF.3| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b STA: AI.P.4| AI.P.5| AI.P.11 TOP: 5-3 Problem 6 Modeling a Function KEY: linear equation | y-intercept | slope-intercept form | choosing the correct scale 2 ID: A 18. ANS: C PTS: 1 DIF: L4 REF: 5-5 Standard Form OBJ: 5-5.1 To graph linear equations using intercepts NAT: CC N.Q.2| CC A.SSE.2| CC A.CED.2| CC F.IF.4| CC F.IF.7.a| CC F.IF.9| CC F.BF.1.a| CC F.LE.2| CC F.LE.5| A.2.a| A.2.b STA: AI.P.5 TOP: 5-5 Problem 2 Graphing a Line Using Intercepts KEY: standard form of a linear equation 3