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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
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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 • • ••• _ _ _]
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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