S2 Free Response Final Pretest
Math 1
Name ______________________________
Period _________
Graph each inequality. Then identify at least one point that is a solution.
5
(1) 𝑦 < 2𝑥 − 4
(2) 𝑦 ≤ − 𝑥 + 3
(3) 𝑥 ≤ 5
2
(4) 𝑦 > 3
Solve each system of linear inequalities by graphing the solution set. Then identify at least
one point that is a solution of the system.
1
𝑦 < 4𝑥 + 1
(5) {
𝑦 > −8𝑥 + 1
𝑦 < 𝑥−1
3
(6) {
2𝑥 + 3𝑦 > 18
(7) Determine whether the given point is a solution to the system of linear inequalities.
2𝑥 − 𝑦 > 4
{
−𝑥 + 𝑦 ≤ 7
point: (−2, −10)
(8) Find the distance between the points.
a) A(2,6) & B(5,10)
b) C(-2,-5) & D(3,-1)
(9) Find the midpoint between each pair of points.
a) G(3,8) and H(7,2)
b) I(-3,4) and J(-7,-5)
Given the equation write two equations one that is parallel & one perpendicular.
1
(10) 𝑦 = −2𝑥 + 5
(11) 𝑦 = 𝑥 + 1
(12) 𝑦 = 5
4
Write an equation in point-slope form for the line through the 2 points.
(13) (2,5) & (4,8)
(14) (-2,-4) & (-5,5)
Evaluate the following expressions.
(15)
1
2
−
3
5
(16)
−
2
15
+
1
3
(19) (2 + 33 ) − 55 + 99 ÷ 9
(17)
−
1
4
∙( )
12
3
(18)
(20) −3|33 − 33| − 3
6
7
÷
9
14
Evaluate each of the following
1 4
(21) −52
(22) ( )
3
(26) (−5)2
(27) ( )
4
(23)
1 −3
(31) √36
1 6
12
0
4 −1
(28) ( )
3
243 0
0
(29)
(30) (
)
6117
5
(33) √28
(32) √50
(25) 4−3
(24) ( )
2
(34) √99
Solve each equation.
(35) |𝑥 − 8| = 15
(36) 3 − 6(𝑥 − 2) = −4𝑥 + 1
(37) 2𝑥 + 5 − 3𝑥 = 7 + 4𝑥 − 1
(38)
1
2
1
𝑥+3= 𝑥−1
3
Solve & graph each inequality on a real number line.
(39) 𝑥 + 7 < 3
(40)
−4𝑥 + 2 ≥ 22
(41)
|𝑥 + 5| > 16
Rewrite the equation from standard form to slope-intercept form.
(42) 3𝑥 + 4𝑦 = −8
(43) 6𝑥 − 2𝑦 = 10
Rewrite the equation from slope-intercept form to standard form.
(44) 𝑦 = 2𝑥 − 6
3
(45) 𝑦 = − 𝑥 − 3
5
Find the slope of the line given two points.
(46) (−2 , 6) & (−4 , −1)
(47) (10 , −4) & (15 , 3)
Determine the common difference for each arithmetic sequence.
(48) 10, 3, −4, −11, …
(49)
1
3
,
2
3
, 1,
4
3
,…
Determine the common ratio (common multiple) for each geometric sequence.
(50) 2, −8, 32, −128, …
(51) 45, 9,
9
5
,
9
25
,…
Determine each unknown term in the given arithmetic sequence.
(52) 3, 7, 11, 15, … , 𝒂𝟐𝟎 , …
(53) −5, −8, −11, −14, … , 𝒂𝟏𝟑 , …
Determine each unknown term in the given geometric sequence.
(54) 2, 6, 18, 54, … , 𝒈𝟏𝟎 , …
(55) 5, 20, 80, 320, … , 𝒈𝟏𝟐 , …
Solve each system of equations by graphing.
𝑦 = 2𝑥 − 4
(56)
𝑦=
(57)
1
𝑦 = 𝑥+3
4
−3
2
𝑥−2
1
𝑦 =− 𝑥+2
2
Solve each system of equations by substitution.
(58)
𝑦 = 5𝑥 − 3
3𝑥 − 8𝑦 = 24
(59)
𝑥 = 2𝑦 + 11
−7𝑥 − 2𝑦 = −13
Solve each system of equations by elimination.
(60)
−3𝑥 + 2𝑦 = −18
4𝑥 − 𝑦 = 14
(61)
−4𝑥 + 7𝑦 = 8
−3𝑥 + 4𝑦 = 6
Draw a graph that is…
(62) discrete, decreasing and exponential
(63) continuous, opening upwards, and quadratic
Plot the points 𝑨(𝟑, 𝟐) 𝑩(𝟐, −𝟏) & 𝑪(−𝟒, 𝟐) and then …
(64) rotate 𝟗𝟎° Counter CW
(65) Rotate 𝟏𝟖𝟎°
(66) Reflect over the x-axis
(67) Translate left 2 and up 3
Given the function, create a table with x inputs -2,-1,0,1,2,3 and then graph the points.
(68) 𝒇(𝒙) = 𝟐𝒙 + 𝟏
(69) 𝒇(𝒙) = 𝟑𝒙
(70) 𝒇(𝒙) = 𝟐𝒙 − 𝟓
(71) Given the data find the 5 number summary and then create a Box-&Whisker Plot
1, 4, 6, 5, 4, 6, 13, 7, 4, 3, 6, 2
1)
2)
3)
4)
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57)
64)
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