ID: 1
Algebra 1
Name___________________________________ Date________________ Period____
Final
B U2u0T1q3x 8K5u5tyaF eSZoDf3tgwgafr7eI eL1L2Cj.c y kAVlrlG qrHiUgAhrtZsS 1rCeRseePrNvBeudB.S
Find the slope of each line. 1)
y
2)
3)
Find the slope of the line through each pair of points. 4) (20, 9), (16, 17) 6) (17, 3), (17, 15) Find the slope of each line. 7) y = 4 x + 1 2 8) y = x + 3 3 5) (4, 17), (6, 18)
4 9) y = x + 1 5 Find the slope of a line parallel to each given line. 10) 9 x + 2 y = 10 12) 3 x + 5 y = 20 11) 8 x + y = 5
l P2W081v3D rK7uOtIa2 CSvoxfRttwoaqrFez bLjL1Cq.L O IASlRlU Krli7gdhathsq FryeMszerr4vle0dP.Z o uMSaAdpe7 mwTiTt9hS 1ITn6fwiRn3iHtJex HAklngZePbkrAaQ L1d.v
-1-
Worksheet by Kuta Software LLC
Sketch the graph of each line. 7 13) y = x + 4 3
6 5 4 3 2 1 6 5 4 3 2 1 1 2 3 4 5 6 1 2 3 4 5 6 x 6 5 4 3 2 1
14) y =
y
4 x+1 5
6 5 4 3 2 1 1 2 3 4 5 6 1 2 3 4 5 6 x
15) y =
7 x+5 2
6 5 4 3 2 1
6 5 4 3 2 1
1 2 3 4 5 6
6 x
O 32N0q1O3X KKxuCtraY gS9owfMtCwDaSr7eN VLDLlCF.6 8 hATl2lo KrliVg5hgtZsZ proevsve7rMv8egde.M p CMIaXdmem qwvistOhq JI9nsfEitnSiXtteX 5A3ligUebbgr3ak q1x.e
-2-
Worksheet by Kuta Software LLC
Write the slope-intercept form of the equation of each line. 16)
4 2 5 4 3 2 1 2 4 1 2 3 4 5 x 5 4 3 2 1 2 4
17)
4 2
5 x
18)
4 2 5 4 3 2 1 2 4
5 x
Write the slope-intercept form of the equation of the line through the given point with the given slope. 19) through: (4, 4), slope = 3 4 3 5 20) through: (3, 4), slope = 2 3
21) through: (5, 4), slope =
Write the slope-intercept form of the equation of the line described. 22) through: (4, 1), parallel to y = x + 4 9 23) through: (2, 4), parallel to y = x + 4 2
1 24) through: (3, 3), parallel to y = x + 3 3 Write the slope-intercept form of the equation of each line. 25) 11 x + 2 y = 12 27) x 2 y = 16 26) 9 x 5 y = 30
L z2v0X1d3n MKsuqtRa4 XSaoKf7tawBazrOeB QLRLBCU.a v NAdlhlV GrHiQgWhNtRsf qrre0sveQrxvSegdG.z n YM6atdAe8 pwDiWt5hx 0IRnofniDnQi2t5eX oA6lwgZeQbxrxaZ C1u.R
-3-
Worksheet by Kuta Software LLC
Solve each system by graphing. 28) y = 6 x + 3 y = x 2
5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 5 4 3 2 1 1 2 3 4 5 1 2 3 4 5 x
7 29) y = x + 4 3 1 y= x4 3
5 4 3 2 1 1 2 3 4 5 x
30) x y = 2 6x y = 3
5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 1 2 3 4 5 x
31) x + 2 y = 4 x 2y = 8
y
5 4 3 2 1 5 4 3 2 1 1 2 3 4 5 1 2 3 4 5 x
Solve each system by substitution. 32) 2 x + 8 y = 0 y = 2 x + 18 34) x + 7 y = 18 x + y = 6 33) 3 x 2 y = 22 y = 3 x 14 35) x + 2 y = 6 x + 6 y = 2
c J2O0R1v3S IKEuptJaU XSsoyfbtlwHaSrjea ELrLvCz.l J kAelGlO nrCidgehQtPs6 DrEeqs1evrrvBeedA.Q R wM2a7dwex uwVimtOhs 6Ijn4fViNnBiFtjef CAslMgMetbXr6aR t13.y
-4-
Worksheet by Kuta Software LLC
36) Bonus: Find the equation of a line 1 perpendicular to the line y = x + 5 which 2 passes through the point (-6, 2)
37) Bonus: Coin Problem
k O230y1R33 TKUuYt1av QS4oQfBtFwdaWrWe3 7LvLTCy.5 T sAPlTlb 8rLiIgYhAtHsm SrzeKsyeGrNveeRd1.N Z nM3aedoex rwLiVtMhI 7I2n5fZimnQiRt1eJ KAqlKgZeobHrJa1 V16.E
-5-
Worksheet by Kuta Software LLC
Answers to Final (ID: 1)
3 8 35 5) 2 4 9) 5 13) 1)
6 4 2 6 4 2 2 4 6 2 4 6 x 6 4 2 2 4 6
2 3 6) Undefined 2) 10)
y
3 2 7) 4 3) 11) 8
4) 2 8) 2 3
9 2 14)
6 4 2
12) 15)
3 5
y
6 4 2 2 4 6 x 6 4 2 2 4 6
6 x
16) y = 20) 24) 28) 32) 36) 37)
18) y = x 2 2 1 x4 17) y = x 1 5 3 22) y = x 5 2 3 y= x+2 21) y = x + 1 3 5 1 11 9 y= x+2 25) y = x 6 26) y = x + 6 3 2 5 (1, 3) 29) (3, 3) 30) (1, 3) (8, 2) 33) (2, 8) 34) (4, 2) The dot next to the choice indicates that it is the answer. The dot next to the choice indicates that it is the answer.
19) y = 23) 27) 31) 35)
3 x+1 4 9 y= x+5 2 1 y= x+8 2 (2, 3) (4, 1)
Q 72c0S1z3U 2KquztCaM OSnoyf3tOwCa8rKeZ rLsLOCw.9 Y 9AylelO NrKiUg5hit5sO 8r4ecsOe7rGvveYdf.l a VMNa7dneu cwHiHt6hQ UIonPfhiunTijtCew UA9lagAe4b8rKai X1u.1
-6-
Worksheet by Kuta Software LLC
