Topic 6 Equations and Inequalities
On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1400?
Solve the inequality. What does the solution represent in this situation?
d>_ 4. They must drive at least four days.
Slide 1
C
Ethan buys a video game on sale. If the video game usually costs $39.99, and it was on sale for 20% off, how much did Ethan pay?
$31.99
Slide 6
16x32
A=512
Natalie walked 3/5 mile in 1/2 hour. How fast did she walk, in miles per hour?
1 1/5 or 6/5 miles
On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1400? Write an inequality to represent this situation.
350d >_ 1400
Slide 2
24
April took out a $600 loan from the bank. At the end of 5 years, she pays back the principal, plus $60 simple interest.
What was the annual interest rate?
initial amount, or principal = p
interest rate = r
time = t
amount of simple interest = i
i=p*r*t
60 = 600 * 5 * r
60 = 3000r
.02 = r
r = 2%
Slide 9
They add up to 90 degrees
Slide 7
B
Find the value of the x in the equation 4(6x-9.5)=46
x= 3.5
Slide 4
A,E
In Game 1, Emerson struck out 30 times in 90 times at bat. In Game 2, he struck out 40 times in 120 times at bat. In Game 3, Emerson struck out 42 times in 140 times at bat.
32%
On a model castle, 1 inch equals 83 feet. The model is 10.5 inches wide. What is the actual width of the castle?
871.5
Mindy has $10.75 to buy school supplies. She spends $3.96 at one store for a package of glue sticks, but she still needs to buy 3 pens and a notebook. At the next store, she finds pens for $1.39 each. What is the most she can spend on a notebook if she buys the 3 pens?
$2.62
In a game, a player earns 100 points for each question answered correctly and earns -30 points for each question answered incorrectly. A player answers 14 questions correctly and 6 questions incorrectly. What is the total number of points the player earned?
1220
Slide 5
B,D
A department store sells a pair of shoes with an 87% markup.
If the store sells the shoes for $193.21 then what is their non-markup price?
markup = percent markup * cost
$103
Slide 8
17 degrees
Jackson hikes 220.2 meters up a mountain. If he is 60% of the way up, how tall is the mountain?
367 meters
Tomas and Emilio have a budget of $200 to plan their party at a movie theater. The party room at the theater costs $45.99 to rent and includes a free cake. Movie tickets cost $12.50 each, and a small bag of popcorn costs $4.50. Assume everyone gets a popcorn.
Emilio states that 9 friends can attend the party. Tomas argues that they can only bring 7 friends. Who is correct? Explain.
Emilio is right.
Explanation:
12.50+4.50= 17 each person
17(9)= 153
153 + 45.99 fee = 198.99. They have enough money.
Slide 3
A,C,D
On the first visit to the veterinarian's office, Cora's kitten weighed 550 grams. On the second visit, the kitten had gained 350 grams. On the third visit, the kitten had gained another 300 grams.
What is the percent increase since the first visit in the kitten’s weight rounded to the nearest percent?
change = percent change * original amount
650 = x * 550
x = 1.18
x = 118%
Slide 10
1625
Melissa estimated that she would read 250 pages last week. She read 290 pages. What is the percent error of Melissa's estimate? Round to the nearest whole percent.
difference = percent error * actual
40 = p * 290
.14 = p
14% = p