It's Beginning to Look a Lot Like Math
In her garden Pam plants the seed 3-1/2 in. below the ground. After one month the tomato plant has grown a total of 9-3/4 in. How many inches is the plant above the ground? No Calculator.
6-1/4 inches
A parachutist descends 20 feet in 2 seconds. Express the rate of the parachutist's change in height as a unit rate. No Calculator.
-10 feet/second
Write the decimal expansion for 9/11. No Calculator.
0.81818181...
The temperature in a town is 26.4°F during the day and −19.2°F at night. Find the difference in the temperatures. No Calculator.
45.6
At a graduation dinner, an equal number of guests was seated at each of 4 large tables, and 7 late-arriving guests were seated at a smaller table. There were 47 guests in all. If n represents the number of people seated at each of the large tables, what equation could you use to find the value of n?
4n + 7 = 47
Subtract.
10x−(2+7x)
3x - 2
A nursery owner buys 7 panes of glass to fix some damage to her greenhouse. The 7 panes cost $15.05. Unfortunately, she breaks 3 more panes while repairing the damage. What is the cost of another 3 panes of glass?
The cost of another 3 panes of glass is $6.45.
What is the value of −5/2x+25 when x=−26? No Calculator.
90
You mix 1-1/4 quarts of juice with 3-1/3 quarts of ginger ale to make fruit punch. What is the ratio of the amount of juice to the amount of ginger ale in simplest form?
3/8
Solve the following equation.
2x−7=3
Factor the algebraic expression.
12a + 9
3(4a + 3)
A company has two manufacturing plants with daily production levels of 5x+14 items and 3x−7 items, respectively. The first plant produces how many more items daily than the second plant?
2x + 21
Solve 3(2x+3)=11x+5−5x+4.
The equation has infinitely many solutions
Add.
(2x−3)+(3x+7)
5x + 4
The robotics team needs new uniforms. The students plan to sell plush toy bears (the school mascot) for $5 each. The students find three companies on-line that sell stuffed mascots. Company A sells 12 bears for $33.12. Company B sells 16 bears for $43.68. Company C charges $41.10 for 15 bears. Which company has the best buy?
You bike 12.25 miles in 1.75 hours at a steady rate. What equation represents the proportional relationship between the x hours you bike and the distance y in miles that you travel?
y = 7x
Solve the inequality. Then graph the solutions on a number line.
−16>−4(5x−6)
x > 2
Open dot on 2 with an arrow pointing to the right.
The cost for a ticket to a museum is $18. Write an equation that represents the cost, y, for x tickets. Then decide if the equation represents a proportional relationship on a graph.
Yes, the graph of the equation is a straight line that passes through the origin.
The local newspaper has letters to the editor from 20 people. If this number represents 5% of all of the newspaper's readers, how many readers does the newspaper have?
The newspaper has 400 readers.
Suppose the relationship between x and y is proportional. When x is 4, y is 56. Identify the constant of proportionality of y to x.
The constant of proportionality is 14.
If the simple interest on $1,000 for 10 years is $500, then what is the interest rate?
The rate is 5%.
The selling price of an item is $550. After 6 months of not selling, it is marked down by 20%. After another 6 months of not selling, it is further marked down by 10%. Find the sale price after both markdowns.
The price after both markdowns is $396.
How much fencing is required to enclose a circular garden whose radius is 19 m? Use 3.14 for π. Round to the nearest hundredth.
119.32 m
How many times greater is the area of Circle 1 with a radius of 10 cm than the area of Circle 2 with a radius of 5 cm?
Circle 1 is 4 times greater than Circle 2.
A circular plate has circumference 23.2 inches. What is the area of this plate? Use 3.14 for π. Round your final answer to the nearest whole number as needed. Round intermediate answers to the thousandths.
The area of the plate is 43 squared inches.