NAME Answir0 DATE ___ ______ PERIOD ___ _

ALGEBRA 1 MIDTERM STUDY GUIDE Chapter 1 Write an algebraic expression for each verbal expression.

I) the sum of a number and IO Solve the equations. 5) 7a + 21 = 56

l rt = 36 ( tt = 5' J X-tlO

2) the product of 18 and q

\~(q_) 6) 3b + 15 = 48

3) the difference of 17 and 5 times a number 3 :: ? ?J [P:: II] 6)(-1 7 7) 4b - 12 = 28

4) the product of 2 and the second power of y y~::: yo f} == to I

Solve each equation. Check your solution.

9) 2m+l2 = 3m-31

fy ?; =m}

10) 2h-8 = h+l7

[} ~2£]

11) 8q+l2=4(3+2q)

01-+ 12= 12 -+Bq_

f6kf{) 12) 3(5} + 2) = 2(3}- 6)

I 5j -t- b :;; lc,j - I 2.

'1J - /5 f j3

tlnal E)(bm

8) 36 - 3 = 0

b

Determine whether each relation is a function. Write yes or no Solve each proportion. If ;:1.::.6 ·:.-...,......----,-----necessary, round to the nearest hundredth.

13).:)l(~ a 14

14)~=~ b 9 L-IS-:- 3 b

@=8 15) BOATING Hue's boat used 5 gallons of gasoline in 4 hours. At this rate, how many gallons of gasoline will the boat use in 10 hours?

X y 4 - 5

-1 - 10

0 -9

1 - 7

9

17. X y

2 7

5 - 3

3

-4

5

-2 ND 5 2

18. X y 3 7

- 1

0 No 3 5

7 3

19. {(2, 5), (4 , - 2), (3 , 3), (5 , 4), (-2, 5)}

1es 20. {(6, - 1), (- 4, 2), (5, 2), (4, 6), (6, 5):·

No Glencol' Algobrn I

NAME ______________ DATE. _________ PERIOD ___ _

Graph each inequality.

92. y - 2x > 4 1 > z 'I- -t L-f 93. - 2y - x> - 3 -21> Y..-3 +; i'--;7'r1 vi.4--,"";,--,"+-M--+--+-~.,

• X

Chapter 6 Graph each system of equations below. Determine whether there is one solution (name it), no solution (parallel), or infinite solutions (same line).

94. 95. y-x=-1 i == .f - 1 'i ::.--;( t 77

96. X - y = 3 "j = /' - ? X - 2y = 3 --J = "'i ;i( - 2_

y _J 7--7 2 ,---,-------r--,--:--,----.--::-:--r---, I

i X

I l ' I I • • ••• _ _ _]

i I I I ..,______,c.-..,.____ __ -~ := Lil · (lis J f ( _!~~»

Solve the following systems of equations by using the ELIMLJ\l"ATION method.

i I ;

J __ - . [31 D5J

NAME _c...:h...:..n!..:s:...:w...:..e~ r _fJ _______ DATE _ _______ PERIOD - - -

Cha ters 3 and 4 Gra hin E uations in S/o t Form Solve each equation or formula for the variable

icated. Graph each equation and identify the characteristics listt>d below.

~7t=x, solve fort [ t ] 41. x - 2y = I, solve for y

48. y=x+4 - 77- 1 · ,- ' l ·1 I • . I . t ·i •• •· t• I .

• ·• - - · t · -[- - - : @kn+ 4f== 9v, for 11

i<n ~9v -Lif . . --~ -

i 1 i

I I I

x' . I

p+9 43. -

5- = r, for p

I X ' t ! 1

I ' I · t r 1 :

! -' ,. -·· ·r ! 1

i I I L I

. .. _J ..

Domain: ( - Do 1 ()Q) Range: ( - ~, 00 I

Domain: ___ _ _ _ Write an equation of a line in slope-intercept form with what is given. '

~ or Decreasing?

X-Intercept: (-4 1 0 ) Y-lntercept: {OJ 4 ) Asx-+ ao,f.l.x)-+

As X-+ · oo, f(x)-+ - ()0

Range: _____ _

45. slope: 5, y-intercept: -3 @slope: -2, y-intercept: 7f,_.~- --_ -_-7-._X_+_7~/ 47. 2 points (2,5) (3 , 6)

Increasing or Decreasing?

X-Intercept: ____ _

Y-Intercept: ____ _

As x-+ oo. f(x) -+ __ Asx- - CJ:J, f(x)-+ __

IJI!,ting Equations in Slope-Intercept Form (y = mx + b) ,r.~te an equation in slope-intercept form for t_he l~n! t~_a.!_!>_asses through each point with the given slope. 1. _ _ _ .. . _'! .. . _ _ ® . m = -1 Y ; 53. l Y ! i

! I I ! i 0

X

i1 = - -· ! ·A -- : --1 ,. I-. ••• __ -•· ••• _ . I

Write each equation in slope-intercept form. (Solve for y)

57.y-4=3(x-2) @ y+ l =-5(x -3) '/-t I-= -5;t, -;-; S

1 59. y + I= --(x+ 9) 3

l,jit_te of Change and Slope - ·- · y ... fl - --- ---·

(2 5) I

- ... / --··-- -- . - ---

J (O 1)

.,ll_ Q+- ! - !J - , _J - ·-

;~:; --~ .; ·-= : :.1· i_l__--~ ... F~:.d :~~r~l -1=·=~~:that passes th@9h each ;_air ~~~ts;

- i (0, 1) -·· .. . -·t- .... ··- ... .--+-e '-4--'4--1-- 1--1--1

I

2)+ - X: ----i ! l

__ i_ - -• _l_j_r j

I

Final Exam .1 Jil 7~ f] Glencoe Algebra 1

NAME _____________ _ DATE _ _ ________ PERIOD - ---

63. (2, 5), (3, 6) @ (6, !),Hi, I) 65. (-5, - 8), (- 8, 1)

'/-; .. - 'j , 1- 1 O

'1--i..-X \ :.-~<o=- ~ :Z

(rri == O) VIDEO RENTALS A video store charges $IO for a rental card plus $2 per rental.

a. Write an equation in slope-intercept form for the total cost c of buying a rental card and renting m movies. i = 2 'A -t \ Q

Video Store Rental Costs

b. Graph the equation.

c. Find the cost of buying a rental card and renting 6 movies.

2(ltJ)+IO \2.. tlO

Chapter 5 [~:i. t- f Match each inequality to the graph of its solution.

__k__@x+ 11 > 16 1--. 1 i;

77.x-6 < 1

79.x+ 3 I

87.3x+l5:'.S21

Final Exam

~~-1 >3 \..:7 2 -

q 2 _ >1.L., l"J . ;;..- 1 .I-r~ > ~J

20 18 1-----1--............ --- -'-~

:§ 16 - 14 1-----1---.C..---i----~

12 -- <--------+-----.-------l 10 ----+---+---+----+-----1 0 L---'--.-J----L-.1....-.....!..-.......J

1 2 3 4 5 Movies Rented

I • -8 -7 -6 -5 -4 -3 -2 -1 0

b. • I I 4'91 •+•·• +--+-!l!t .. ,fin.n 'f•L+m--,i -4 -3 -2 -1 0 1 2 3 4

c. • I I I I ~~~9 t:• 0 1 2 3 4 5 6 7 8

d. I I I I I I • -8 -7 -6 -5 -4 -3 -2 -1 0

e. ..._:.+•• f ·~•.,-••~ •--~ ·L+M•4u-~ I • 0 1 2 3 4 5 6 7 8

89. 2(-3m - 5) ;:::-28

m

Glencoe Algebra 1