Ch.1-2 Review
(...cont from previous) During what approximate year will the price of a movie ticket reach $15?
2073
Use: f(x) = -3/2x + 11 Find f(8)
23
If a= -7 & b=2 Evaluate: a² + 2(2-6) - 17
24
Simplify: 2⁵ - 4 • 3³ 7 + (1 - √100)
38
Simplify: |5 - 2(9)| + 9² ÷ 3
40
Write the equation in standard form: 4x - 8 = 9y - 5
4x - 9y = 3
If x= - 1 & y= -6 Evaluate: 2/5(x - 4y) + 1/2(2x + y)
8
Use h(x) = |15 - 9x| Find h(2/3).
9
(...cont from previous) Predict the temperature at 2:00pm.
About 88 degrees
3(n + 11) - 5n = -2(n - 12) + 9
All Real Numbers
Name the property: (8a + 2b) + c = 8a + (2b + c)
Associative (Addition)
Name the property: (9 • -4) • 7 = 7 • (9 • -4)
Commutative (multiplication)
Graph the absolute value function & state the Domain & Range: f(x) = -4|x + 5|
Domain: all reals Range: (-∞, 0]
Graph the absolute value function & state the Domain & Range: f(x) = - |x + 3| + 6
Domain: all reals Range: (-∞, 6]
Graph the absolute value function & state the Domain & Range f(x) = |x - 1| -1
Domain: all reals Range: [-1, ∞)
Fine the domain and range of the relation: {(-1, 4), (-1, 9), (-1, 15), (-1, 0)}
Domain: {-1} Range: {0, 4, 9, 15}
Find the domain and range of the relation: {(1,1), (2,2), (3,3), (4,4)}
Domain: {1, 2, 3, 4} Range: {1, 2, 3, 4}
Name the property: -1/3 + 1/3 = 0
Inverse (Addition)
Determine if the equation is parallel, perpendicular, or neither: 2x = 14 + y & 4x + 2y = 10
Neither
-8 - 3(w + 13) = 4(w + 11) - 7w
No Solution
Solve: 16|r - 5| = -32 **Check for extraneous solutions
No Solution
Graph the linear inequality y < -5/4x + 2
OneNote
Graph the linear inequality: 4x - y < -1
OneNote
Determine if the equation is parallel, perpendicular, or neither: 9x - 6y = -20 & -3y = 2x - 11
Perpendicular
Solve & write in Interval Notation -2(7 + y) > -8(y + 1)
[1, ∞)
Solve & write in Interval Notation -7a - 11 < 1 - 4a
a > -4 (-4, ∞)
Solve: 15/8m - 11 = 7/4m + 1
m = 96
Solve: 5n - 3 = |n+9| **Check for extraneous solutions
n = {3} ** n= -1 is extraneous
Determine if the equation is parallel, perpendicular, or neither x + y = 8 & y = -x -1
parallel
Use f(x) = -3/2x + 11 f(x) = -7. Find x.
x = 12
Solve: 4/9(3/8x - 27/16) = 13/4
x = 24
Solve: |x - 9| = 5 **Check for extraneous solutions
x = {4, 14}
Find the x and y-intercepts: 6x + 5y = -15
x-int: (-5/2, 0) y-int: (0, -3)
Find the x and y intercepts: 7/3x - 1/3y = 1
x-int: (3/7, 0) y-int: (0, -3)
Solve: -5(3x-4) + 4 = 114
x= -6
Write an equation in slope-intercept form: (-4, 11) (2, 8)
y = -1/2x + 9
Write in slope-intercept form: 12x + 8y = 28
y = -3/2x + 7/2
Write an equation in slope-intercept form: slope = -6; passes through (-4, 1)
y = -6x - 23
Find the regression equation (use screenshot)
y = 0.22x - 441.11
Find the regression equation: (use screenshot)
y = 2.91x + 47.15
Solve & write in Interval Notation -10n - 9 > -59 AND n - 6 < 3
(-5,9]
Solve & write in Interval Notation a/-2 < -1 OR -4a + 3 > 23
(-∞, -5] u (2, ∞)
Solve & write in Interval Notation: |5 + 3w| /-2 < -1
(-∞, -7/2] u [-1, ∞)
Solve & write in Interval Notation |5k + 4| > 36
(-∞,-8] u [6.4. ∞)
Name all sets to which each value belongs: -5/3, √49, 0.6 repeating, & π.
-5/3 = R, Q √49 = R, Q, Z, W, N 0.6 repeating = R, Q π = R, I
Simplify: 25 - (√16 - 1) • (3 - 9)²
-83
Name the additive inverse of √52
-√52
Name the multiplicative inverse of 9
1/9
