Systems & Inequalities
Conversions & Proportions
Absolute/Relative & Rates
Quadratics
Functions & Transformations
100
  • Set up (do NOT solve) a system modeling this: Miranda bought 2 tacos and 1 nacho for $3.25; Tori bought 1 taco and 3 nachos for $3.50. Let t = taco, n = nacho.

Miranda: 2t+n=3.252; Tori: t+3n=3.50

100
  • Convert $2.50 in 1980 to 2016 dollars using CPI: CPI 1980 = 82.4, CPI 2016 = 240.0. Set up the calculation.

7.30$


100

Portfolio grows 1500 → 2250. Compute absolute and relative change.

Absolute = $750; Relative = 50%


100

Find the solution: 0=x2−6x−16

x = 8, x = -2

200
  • Solve the inequality: −2x+4 ≥ 4x−8

2 ≥ x

200
  • A rectangular garden 45 ft × 30 ft, walkway widths: left/right 2.5 ft each, top/bottom 3 ft each. Compute area of walkway.

450 ft²

200
  • Multiple choice: iPhone fell from $1000 to $800. Which choice correctly describes both absolute and relative change?
  • a) Absolute change = $200; Relative change = 20%
  • b) Absolute change = $200; Relative change = 25%
  • c) Absolute change = -$200; Relative change = -20%
  • d) Absolute change = -$200; Relative change = -25%

C

200

Given x-intercepts at (-4,0) and (2,0) and vertex at (-1,9), write a possible equation for the downward-opening parabola.

y = -(x+4)(x-2)

200

Juan's savings table: Month 0 $325, 1 $400, 2 $475, 3 $550, 4 $625, 5 $700. How much in 2.5 years (30 months) assuming linear growth per month shown?

2575$


300
  • More than 150 students went on a trip. 18 by car, rest on 7 buses with s students each. Write an inequality representing the situation.

18 + 7s > 150

300

Rectangular poster area 60 in². Width = w, height = 2w − 26. Find w

15 inches

300
  • Drive 70 miles one-way, SUV 13 mpg. How many gallons for round trip? Round to nearest gallon.

11 gallons

300
  •  h(t)=−16t2−24t+108 (distance to ground), what is the height of the building?

108 ft

300

AT&T plan: $95 per month for first line, then $12 for each additional line. If C(x) models cost for x lines, what do 95 and 12 represent?

95 = base cost (fixed fee); 12 = cost per extra line (slope)

400

Solve the system: 2x+y=7 and x−2y=−3

 (11/5, 13/5)

400

ishwasher uses 0.02 yd³ per cycle. Hand-wash uses 8 minutes at 0.24 ft³/min. Which uses more water and by how much? (Convert units.)

Hand-wash uses more; by 1.38 ft³

400

Interpret the 3 in model v=500−3T (gallons v, minutes T).

3 = gallons removed per minute

400
  • Given h(t)=−16t2+20t+24 solutions to h(t)=0 are t = {−3/4, 2}. Interpret both solutions in context.

t = −3/4 is pre-launch (not physically meaningful); t = 2 s is when the projectile hits the ground.


400

Given parent f(x) points (-2,1), (0,4), (4,4), (6,0). Graph g(x) = (1/2) f(x + 3) + 4. Provide transformed points.

(-5,4.5), (-3,6), (1,6), (3,4)

500

Solve: y=2x+1 and y=-x+4

(1, 3)

500

If CPI in year A = 100 and in year B = 155, a $480 price in year A equals what in year B

744$

500

Plane descends from 40,000 ft at 900 ft/min. What is altitude after 8 minutes? Provide function and value.

32,800 ft

500

Which function has a greater rate of change:
a) y=4x+3
b) The line passing through points (−2,0), (0,2), (2,4), (4,6). Show slope calculations.

A

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