REVIEW FOR THE SEMESTER 1 FINAL EXAM - ALGEBRA 350 – Mr. Cerić
Name: ____________________________
Period: _____Date: ____________
1. SOLVING EQUATIONS ___ / 12 = ____ %
(2,2,3,2,2,3)
a)
𝒙
𝟏𝟎
a) 120
b) 3.2
c) 240
d) -120
b) 16x + 28 = -6x - 38
a) 22/64
b) -11/32
c) 64/22
d) -32/11
c) 12x - (6x –16) = 20x - 8
a) -4/7
b) 7/12
c) 12/7
d) -24/14
d) 16 is 40% of what number?
a) 24
b) 40
c) 32
d) 64
e) 35 is what percent of 175?
a) 5%
b) 20%
c) 25%
d) 7%
f)
+ 4 = 28
𝒙+𝟒 𝟔𝒙−𝟖
= 𝟏𝟐
𝟗
a) 14/40 or 0.35 b) -7/20 or -0.35 c)-40/14 or -2.86 d) 20/7 or 2.86
(2,2,3,3)
2. GRAPHING EQUATIONS AND INEQUALITIES ___ / 10 = ____ %
a) y = x – 3
b) y =
4
−3
x+1
c) y ≤
1
− 4x
-3
d) -6x - 2y < -8
3. SOLVING/GRAPHING COMPOUND INEQUALITIES AND ABSOLUTE VALUE ___ / 13 = ____ %
Solve and graph the compound inequality on a number line.
(3,3,3,4)
a) 3x + 5 > -10 and 7x – 4 ≤ 45
b) x + 6 < 1 or
𝑥
−3
≥ -2
c) |3x - 4 |= 11
d) | -x +3 | ≥ 10
4. WRITING EQUATIONS OF LINES ___ / 8 = ____ %
𝑆𝐿𝑂𝑃𝐸 𝐹𝑂𝑅𝑀𝑈𝐿𝐴:
𝒎=
𝒚𝟐 −𝒚𝟏
𝒙𝟐 −𝒙𝟐
𝑃𝑂𝐼𝑁𝑇 − 𝑆𝐿𝑂𝑃𝐸 𝐹𝑂𝑅𝑀: 𝒚 − 𝒚𝟏 = 𝒎(𝒙 − 𝒙𝟏 )
a) passing through the points (3, 8) and (5, 11)
𝑆𝐿𝑂𝑃𝐸 − 𝐼𝑁𝑇𝐸𝑅𝐶𝐸𝑃𝑇 𝐹𝑂𝑅𝑀: 𝒚 = 𝒎𝒙 + 𝒃
(4,4)
b) perpendicular to y
2
= −7x
– 2 and passing through the point (3, 5)
5. SOLVING SYSTEMS OF EQUATIONS IN TWO VARIABLES ___ / 22 = ____ %
Solve by Substitution __ / 6
a) 4x + 6y = 20
b) 5x – 2y = 52
y = -6
c) 7x + 3y =31
x = 3y
y = -3x – 1
- Solve by Elimination- __ /6
d) 6x + 3y = 54
e) 2x + 3y = -5
f) 8x + 3y = 26
5x + 5y = -5
5x + y = 18
-2x – 3y = -14
g)___ / 5
__ /2 – setting up __ /1 using chosen method correctly
__ /2 solving one point for each variable ___ /1 explaining the meaning of an answer
The band and the orchestra are attending a concert. The band bought 15 student tickets and 4 adult tickets for
$92. The orchestra bought 11 student tickets and 6 adult tickets for $92. Find the cost of each type of ticket.
h)___ / 5
__ /2 – setting up __ /1 using chosen method correctly
__ /2 solving one point for each variable ___ /1 explaining the meaning of an answer
The Miller and Ceric families went to Six Flags. The Millers bought 4 adult and 5 child tickets for $390. Ceric family
bought 3 adult and 4 child tickets. For $300. Find the cost of each type of ticket.
6. SOLVING SYSTEMS OF INEQUALITIES IN TWO VARIABLES ___ / 15 = ____ % (5,5,5)
a) y < 3
b)
y >- 3x + 2
c) 2x + 3y ≥ -6
1
x ≥ -1
y≤3x–4
x<1
y
y
y
8
8
8
7
7
7
6
6
6
5
5
5
4
4
4
3
3
3
2
2
2
1
1
1
–8 –7 –6 –5 –4 –3 –2 –1
–1
1
2
3
4
5
6
7
8
x
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–2
–3
–3
–4
–4
–5
–5
–6
–6
–7
–7
–8
–8
1
2
3
4
5
6
7
8
x
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
1
2
3
4
5
6
7
8
x