AI Topic 1 Review

Front

Express as a single power of e: e^x / e^4

Back

e^(x-4)

Front

Find the sum of the series: -4 + 4 + 12 + 20 + ... + 188

Back

2300

Front

George buys 3 burgers and 5 sandwiches for 21.4 euros. Catherine buys 2 burgers and 3 sandwiches for 13.6 euros. Find the prices of each burger and sandwich.

Back

B = 3.8, S = 2

Front

Round 0.010229 to three significant figures.

Back

0.0102

Front

Round off 71,448 to 2 significant figures.

Back

71,000

Front

What is the definition of significant figures?

Back

Significant figures are the digits in a number that contribute to its precision, including all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion.

Front

What is the formula for the sum of an arithmetic series?

Back

S_n = n/2 * (a + l), where S_n is the sum, n is the number of terms, a is the first term, and l is the last term.

Front

What is the value of e^0?

Back

1

Front

How do you solve a system of equations using substitution?

Back

1. Solve one equation for one variable. 2. Substitute that expression into the other equation. 3. Solve for the remaining variable.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.