SAT Math: Algebra
What operation does the phrase 'more than' usually indicate in the context of translating word problems into linear equations?
Subtraction (-)
Addition (+)
Multiplication (\times)
Division (\div)
A number is multiplied by 4, and then 7 is subtracted from the result, giving 5. If 'x' represents the number, which equation correctly represents this situation?
4 - 7x = 5
7x - 4 = 5
4x - 7 = 5
7 - 4x = 5
A rental car company charges a flat fee of 0.20 per mile. If a customer is charged '$80', which equation can be used to find 'm', the number of miles driven?
30m + 0.20 = 80
30 + 0.20m = 80
30.20m = 80
30 - 0.20m = 80
In the linear equation , what does 'm' represent in a real-world context?
The initial value
The fixed cost
The rate of change
The starting point
A graph shows the distance a car travels over time. If the slope of the line is 60, what does this indicate?
The car's starting distance is 60 miles.
The car travels 60 miles every 2 hours.
The car's speed is 60 mph.
The car's final destination is 60 miles away.
Two delivery services charge differently. Company A charges 0.50 per mile, while Company B charges 0.75 per mile. What can be inferred about their costs based on their slopes and y-intercepts?
Company A is always cheaper.
Company B is always cheaper.
Company A is cheaper for shorter distances, but Company B becomes cheaper for longer distances.
Company B is cheaper for shorter distances, but Company A becomes cheaper for longer distances.
How many liters of a 20% acid solution must be mixed with a 50% acid solution to get 10 liters of a 30% acid solution?
3.33 liters
6.67 liters
5 liters
7.5 liters

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A chemist needs to create 50 mL of a 40% saline solution by mixing a 25% saline solution with a 60% saline solution. How much of the 60% solution is needed?
17.14 mL
21.43 mL
32.86 mL
38.57 mL
John can paint a room in 3 hours, and Mary can paint the same room in 5 hours. How long will it take them to paint the room together?
1 hour and 53 minutes
1 hour and 52 minutes
2 hours
4 hours
Person A can complete a task in 4 hours, and Person B can complete the same task in 6 hours. If they work together but Person A takes a 30-minute break, how long will it take them to complete the task?
Approximately 2.5 hours
Approximately 2.7 hours
Approximately 3 hours
Approximately 3.3 hours