Jake isn't doing well in American History. For example, he made a 67 on his first test. His second test was even worse; he scored only a 52 on it. What does Jake need to score on the next test to have a test average of 70 ?

**Step 1: Define the variable** Let \( x \) be the score Jake needs on the next test. --- **Step 2: Set up the equation** Jake wants his average score over three tests to be \( 70 \). The equation for the average is: \[ \frac{67 + 52 + x}{3} = 70 \] --- **Step 3: Sum the known test scores** \[ 67 + 52 = 119 \] The equation becomes: \[ \frac{119 + x}{3} = 70 \] --- **Step 4: Solve for \( x \)** Multiply both sides of the equation by \( 3 \) to eliminate the denominator: \[ 119 + x = 70 \times 3 \] Calculate the right side: \[ 119 + x = 210 \] Subtract \( 119 \) from both sides: \[ x = 210 - 119 \] \[ x = 91 \] --- **Step 5: Conclusion** Jake needs to score \( \boxed{91} \) on the next test to have an average of \( 70 \).